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Finding the Fourth Proportional to 430.80, 594.50 and 234.31

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Solution

The fourth proportional to 430.80, 594.50 and 234.31 is: 323.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.80 : 594.50 = 234.31 : x
  2. Step 2: Convert to fraction form
    430.80/594.50 = 234.31/x
  3. Step 3: Cross multiply
    430.80x = 594.50 × 234.31
  4. Step 4: Simplify right side
    430.80x = 139,296.12
  5. Step 5: Solve for x
    x = 139,296.12/430.80
  6. Step 6: Final answer
    x = 323.34

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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.