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Finding the Fourth Proportional to 463.46, 691.84 and 394.52

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Solution

The fourth proportional to 463.46, 691.84 and 394.52 is: 588.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.46 : 691.84 = 394.52 : x
  2. Step 2: Convert to fraction form
    463.46/691.84 = 394.52/x
  3. Step 3: Cross multiply
    463.46x = 691.84 × 394.52
  4. Step 4: Simplify right side
    463.46x = 272,944.72
  5. Step 5: Solve for x
    x = 272,944.72/463.46
  6. Step 6: Final answer
    x = 588.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.