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Finding the Fourth Proportional to 463.24, 691.61 and 382.24

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Solution

The fourth proportional to 463.24, 691.61 and 382.24 is: 570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.24 : 691.61 = 382.24 : x
  2. Step 2: Convert to fraction form
    463.24/691.61 = 382.24/x
  3. Step 3: Cross multiply
    463.24x = 691.61 × 382.24
  4. Step 4: Simplify right side
    463.24x = 264,361.01
  5. Step 5: Solve for x
    x = 264,361.01/463.24
  6. Step 6: Final answer
    x = 570.68

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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.