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Finding the Fourth Proportional to 463.86, 640.17 and 264.69

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Solution

The fourth proportional to 463.86, 640.17 and 264.69 is: 365.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.86 : 640.17 = 264.69 : x
  2. Step 2: Convert to fraction form
    463.86/640.17 = 264.69/x
  3. Step 3: Cross multiply
    463.86x = 640.17 × 264.69
  4. Step 4: Simplify right side
    463.86x = 169,446.60
  5. Step 5: Solve for x
    x = 169,446.60/463.86
  6. Step 6: Final answer
    x = 365.30

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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.