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Finding the Fourth Proportional to 531.98, 734.82 and 409.15

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Solution

The fourth proportional to 531.98, 734.82 and 409.15 is: 565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.98 : 734.82 = 409.15 : x
  2. Step 2: Convert to fraction form
    531.98/734.82 = 409.15/x
  3. Step 3: Cross multiply
    531.98x = 734.82 × 409.15
  4. Step 4: Simplify right side
    531.98x = 300,651.60
  5. Step 5: Solve for x
    x = 300,651.60/531.98
  6. Step 6: Final answer
    x = 565.16

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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.