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Finding the Fourth Proportional to 610.52, 916.06 and 446.14

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Solution

The fourth proportional to 610.52, 916.06 and 446.14 is: 669.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.52 : 916.06 = 446.14 : x
  2. Step 2: Convert to fraction form
    610.52/916.06 = 446.14/x
  3. Step 3: Cross multiply
    610.52x = 916.06 × 446.14
  4. Step 4: Simplify right side
    610.52x = 408,691.01
  5. Step 5: Solve for x
    x = 408,691.01/610.52
  6. Step 6: Final answer
    x = 669.41

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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.