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Finding the Fourth Proportional to 616.73, 925.08 and 411.69

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Solution

The fourth proportional to 616.73, 925.08 and 411.69 is: 617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.73 : 925.08 = 411.69 : x
  2. Step 2: Convert to fraction form
    616.73/925.08 = 411.69/x
  3. Step 3: Cross multiply
    616.73x = 925.08 × 411.69
  4. Step 4: Simplify right side
    616.73x = 380,846.19
  5. Step 5: Solve for x
    x = 380,846.19/616.73
  6. Step 6: Final answer
    x = 617.53

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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.