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Finding the Fourth Proportional to 616.76, 923.88 and 462.88

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Solution

The fourth proportional to 616.76, 923.88 and 462.88 is: 693.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.76 : 923.88 = 462.88 : x
  2. Step 2: Convert to fraction form
    616.76/923.88 = 462.88/x
  3. Step 3: Cross multiply
    616.76x = 923.88 × 462.88
  4. Step 4: Simplify right side
    616.76x = 427,645.57
  5. Step 5: Solve for x
    x = 427,645.57/616.76
  6. Step 6: Final answer
    x = 693.37

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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.