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Finding the Fourth Proportional to 463.95, 638.94 and 404.91

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Solution

The fourth proportional to 463.95, 638.94 and 404.91 is: 557.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.95 : 638.94 = 404.91 : x
  2. Step 2: Convert to fraction form
    463.95/638.94 = 404.91/x
  3. Step 3: Cross multiply
    463.95x = 638.94 × 404.91
  4. Step 4: Simplify right side
    463.95x = 258,713.20
  5. Step 5: Solve for x
    x = 258,713.20/463.95
  6. Step 6: Final answer
    x = 557.63

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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.