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Finding the Fourth Proportional to 462.17, 638.28 and 399.70

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Solution

The fourth proportional to 462.17, 638.28 and 399.70 is: 552.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.17 : 638.28 = 399.70 : x
  2. Step 2: Convert to fraction form
    462.17/638.28 = 399.70/x
  3. Step 3: Cross multiply
    462.17x = 638.28 × 399.70
  4. Step 4: Simplify right side
    462.17x = 255,121.31
  5. Step 5: Solve for x
    x = 255,121.31/462.17
  6. Step 6: Final answer
    x = 552.00

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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.