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Finding the Fourth Proportional to 463.52, 640.29 and 370.91

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Solution

The fourth proportional to 463.52, 640.29 and 370.91 is: 512.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.52 : 640.29 = 370.91 : x
  2. Step 2: Convert to fraction form
    463.52/640.29 = 370.91/x
  3. Step 3: Cross multiply
    463.52x = 640.29 × 370.91
  4. Step 4: Simplify right side
    463.52x = 237,486.76
  5. Step 5: Solve for x
    x = 237,486.76/463.52
  6. Step 6: Final answer
    x = 512.36

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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.