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Finding the Fourth Proportional to 531.16, 732.65 and 442.16

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Solution

The fourth proportional to 531.16, 732.65 and 442.16 is: 609.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.16 : 732.65 = 442.16 : x
  2. Step 2: Convert to fraction form
    531.16/732.65 = 442.16/x
  3. Step 3: Cross multiply
    531.16x = 732.65 × 442.16
  4. Step 4: Simplify right side
    531.16x = 323,945.40
  5. Step 5: Solve for x
    x = 323,945.40/531.16
  6. Step 6: Final answer
    x = 609.89

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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.