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Finding the Fourth Proportional to 609.71, 915.17 and 412.02

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Solution

The fourth proportional to 609.71, 915.17 and 412.02 is: 618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.71 : 915.17 = 412.02 : x
  2. Step 2: Convert to fraction form
    609.71/915.17 = 412.02/x
  3. Step 3: Cross multiply
    609.71x = 915.17 × 412.02
  4. Step 4: Simplify right side
    609.71x = 377,066.28
  5. Step 5: Solve for x
    x = 377,066.28/609.71
  6. Step 6: Final answer
    x = 618.44

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Why These Related Problems?

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