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Finding the Fourth Proportional to 462.80, 638.64 and 288.14

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Solution

The fourth proportional to 462.80, 638.64 and 288.14 is: 397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.80 : 638.64 = 288.14 : x
  2. Step 2: Convert to fraction form
    462.80/638.64 = 288.14/x
  3. Step 3: Cross multiply
    462.80x = 638.64 × 288.14
  4. Step 4: Simplify right side
    462.80x = 184,017.73
  5. Step 5: Solve for x
    x = 184,017.73/462.80
  6. Step 6: Final answer
    x = 397.62

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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.