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Finding the Fourth Proportional to 616.30, 928.09 and 463.36

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Solution

The fourth proportional to 616.30, 928.09 and 463.36 is: 697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.30 : 928.09 = 463.36 : x
  2. Step 2: Convert to fraction form
    616.30/928.09 = 463.36/x
  3. Step 3: Cross multiply
    616.30x = 928.09 × 463.36
  4. Step 4: Simplify right side
    616.30x = 430,039.78
  5. Step 5: Solve for x
    x = 430,039.78/616.30
  6. Step 6: Final answer
    x = 697.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.