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Finding the Fourth Proportional to 616.10, 922.94 and 579.65

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Solution

The fourth proportional to 616.10, 922.94 and 579.65 is: 868.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.10 : 922.94 = 579.65 : x
  2. Step 2: Convert to fraction form
    616.10/922.94 = 579.65/x
  3. Step 3: Cross multiply
    616.10x = 922.94 × 579.65
  4. Step 4: Simplify right side
    616.10x = 534,979.27
  5. Step 5: Solve for x
    x = 534,979.27/616.10
  6. Step 6: Final answer
    x = 868.33

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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.