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Finding the Fourth Proportional to 430.77, 594.48 and 234.27

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Solution

The fourth proportional to 430.77, 594.48 and 234.27 is: 323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.77 : 594.48 = 234.27 : x
  2. Step 2: Convert to fraction form
    430.77/594.48 = 234.27/x
  3. Step 3: Cross multiply
    430.77x = 594.48 × 234.27
  4. Step 4: Simplify right side
    430.77x = 139,270.32
  5. Step 5: Solve for x
    x = 139,270.32/430.77
  6. Step 6: Final answer
    x = 323.31

Related Problems

Find fourth proportional to 215.38, 297.24 and 117.14
Half scale
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Double scale
Find fourth proportional to 431.77, 595.86 and 235.27
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.