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Finding the Fourth Proportional to 616.32, 850.04 and 406.53

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Solution

The fourth proportional to 616.32, 850.04 and 406.53 is: 560.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.32 : 850.04 = 406.53 : x
  2. Step 2: Convert to fraction form
    616.32/850.04 = 406.53/x
  3. Step 3: Cross multiply
    616.32x = 850.04 × 406.53
  4. Step 4: Simplify right side
    616.32x = 345,564.73
  5. Step 5: Solve for x
    x = 345,564.73/616.32
  6. Step 6: Final answer
    x = 560.69

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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.