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Finding the Fourth Proportional to 463.52, 640.16 and 316.56

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Solution

The fourth proportional to 463.52, 640.16 and 316.56 is: 437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.52 : 640.16 = 316.56 : x
  2. Step 2: Convert to fraction form
    463.52/640.16 = 316.56/x
  3. Step 3: Cross multiply
    463.52x = 640.16 × 316.56
  4. Step 4: Simplify right side
    463.52x = 202,649.05
  5. Step 5: Solve for x
    x = 202,649.05/463.52
  6. Step 6: Final answer
    x = 437.20

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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.