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Finding the Fourth Proportional to 463.76, 640 and 289.12

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Solution

The fourth proportional to 463.76, 640 and 289.12 is: 398.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.76 : 640 = 289.12 : x
  2. Step 2: Convert to fraction form
    463.76/640 = 289.12/x
  3. Step 3: Cross multiply
    463.76x = 640 × 289.12
  4. Step 4: Simplify right side
    463.76x = 185,036.80
  5. Step 5: Solve for x
    x = 185,036.80/463.76
  6. Step 6: Final answer
    x = 398.99

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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.