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Finding the Fourth Proportional to 531.89, 734.24 and 355.14

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Solution

The fourth proportional to 531.89, 734.24 and 355.14 is: 490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.89 : 734.24 = 355.14 : x
  2. Step 2: Convert to fraction form
    531.89/734.24 = 355.14/x
  3. Step 3: Cross multiply
    531.89x = 734.24 × 355.14
  4. Step 4: Simplify right side
    531.89x = 260,756.13
  5. Step 5: Solve for x
    x = 260,756.13/531.89
  6. Step 6: Final answer
    x = 490.24

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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.