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Finding the Fourth Proportional to 462.68, 638.61 and 287.96

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Solution

The fourth proportional to 462.68, 638.61 and 287.96 is: 397.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.68 : 638.61 = 287.96 : x
  2. Step 2: Convert to fraction form
    462.68/638.61 = 287.96/x
  3. Step 3: Cross multiply
    462.68x = 638.61 × 287.96
  4. Step 4: Simplify right side
    462.68x = 183,894.14
  5. Step 5: Solve for x
    x = 183,894.14/462.68
  6. Step 6: Final answer
    x = 397.45

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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.