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Finding the Fourth Proportional to 667.03, 920.88 and 462.76

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Solution

The fourth proportional to 667.03, 920.88 and 462.76 is: 638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.03 : 920.88 = 462.76 : x
  2. Step 2: Convert to fraction form
    667.03/920.88 = 462.76/x
  3. Step 3: Cross multiply
    667.03x = 920.88 × 462.76
  4. Step 4: Simplify right side
    667.03x = 426,147.04
  5. Step 5: Solve for x
    x = 426,147.04/667.03
  6. Step 6: Final answer
    x = 638.87

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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.