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Finding the Fourth Proportional to 430.72, 594.41 and 234.24

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Solution

The fourth proportional to 430.72, 594.41 and 234.24 is: 323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.72 : 594.41 = 234.24 : x
  2. Step 2: Convert to fraction form
    430.72/594.41 = 234.24/x
  3. Step 3: Cross multiply
    430.72x = 594.41 × 234.24
  4. Step 4: Simplify right side
    430.72x = 139,231.64
  5. Step 5: Solve for x
    x = 139,231.64/430.72
  6. Step 6: Final answer
    x = 323.25

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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.