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Finding the Fourth Proportional to 531.86, 734.01 and 422.24

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Solution

The fourth proportional to 531.86, 734.01 and 422.24 is: 582.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.86 : 734.01 = 422.24 : x
  2. Step 2: Convert to fraction form
    531.86/734.01 = 422.24/x
  3. Step 3: Cross multiply
    531.86x = 734.01 × 422.24
  4. Step 4: Simplify right side
    531.86x = 309,928.38
  5. Step 5: Solve for x
    x = 309,928.38/531.86
  6. Step 6: Final answer
    x = 582.73

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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.