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Finding the Fourth Proportional to 531.92, 734.44 and 459.02

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Solution

The fourth proportional to 531.92, 734.44 and 459.02 is: 633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.92 : 734.44 = 459.02 : x
  2. Step 2: Convert to fraction form
    531.92/734.44 = 459.02/x
  3. Step 3: Cross multiply
    531.92x = 734.44 × 459.02
  4. Step 4: Simplify right side
    531.92x = 337,122.65
  5. Step 5: Solve for x
    x = 337,122.65/531.92
  6. Step 6: Final answer
    x = 633.78

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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.