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Finding the Fourth Proportional to 463.53, 641.07 and 411.83

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Solution

The fourth proportional to 463.53, 641.07 and 411.83 is: 569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.53 : 641.07 = 411.83 : x
  2. Step 2: Convert to fraction form
    463.53/641.07 = 411.83/x
  3. Step 3: Cross multiply
    463.53x = 641.07 × 411.83
  4. Step 4: Simplify right side
    463.53x = 264,008.65
  5. Step 5: Solve for x
    x = 264,008.65/463.53
  6. Step 6: Final answer
    x = 569.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.