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Finding the Fourth Proportional to 609.42, 915.21 and 532.92

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Solution

The fourth proportional to 609.42, 915.21 and 532.92 is: 800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.42 : 915.21 = 532.92 : x
  2. Step 2: Convert to fraction form
    609.42/915.21 = 532.92/x
  3. Step 3: Cross multiply
    609.42x = 915.21 × 532.92
  4. Step 4: Simplify right side
    609.42x = 487,733.71
  5. Step 5: Solve for x
    x = 487,733.71/609.42
  6. Step 6: Final answer
    x = 800.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.