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Finding the Fourth Proportional to 616.72, 851.23 and 380.87

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Solution

The fourth proportional to 616.72, 851.23 and 380.87 is: 525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.72 : 851.23 = 380.87 : x
  2. Step 2: Convert to fraction form
    616.72/851.23 = 380.87/x
  3. Step 3: Cross multiply
    616.72x = 851.23 × 380.87
  4. Step 4: Simplify right side
    616.72x = 324,207.38
  5. Step 5: Solve for x
    x = 324,207.38/616.72
  6. Step 6: Final answer
    x = 525.70

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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.