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Finding the Fourth Proportional to 616.52, 927.88 and 463.26

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Solution

The fourth proportional to 616.52, 927.88 and 463.26 is: 697.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.52 : 927.88 = 463.26 : x
  2. Step 2: Convert to fraction form
    616.52/927.88 = 463.26/x
  3. Step 3: Cross multiply
    616.52x = 927.88 × 463.26
  4. Step 4: Simplify right side
    616.52x = 429,849.69
  5. Step 5: Solve for x
    x = 429,849.69/616.52
  6. Step 6: Final answer
    x = 697.22

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1.5x scale

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.