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Finding the Fourth Proportional to 531.96, 734.33 and 414.25

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Solution

The fourth proportional to 531.96, 734.33 and 414.25 is: 571.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.96 : 734.33 = 414.25 : x
  2. Step 2: Convert to fraction form
    531.96/734.33 = 414.25/x
  3. Step 3: Cross multiply
    531.96x = 734.33 × 414.25
  4. Step 4: Simplify right side
    531.96x = 304,196.20
  5. Step 5: Solve for x
    x = 304,196.20/531.96
  6. Step 6: Final answer
    x = 571.84

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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.