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Finding the Fourth Proportional to 616.56, 923.84 and 566.24

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Solution

The fourth proportional to 616.56, 923.84 and 566.24 is: 848.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.56 : 923.84 = 566.24 : x
  2. Step 2: Convert to fraction form
    616.56/923.84 = 566.24/x
  3. Step 3: Cross multiply
    616.56x = 923.84 × 566.24
  4. Step 4: Simplify right side
    616.56x = 523,115.16
  5. Step 5: Solve for x
    x = 523,115.16/616.56
  6. Step 6: Final answer
    x = 848.44

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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.