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Finding the Fourth Proportional to 667.47, 920.86 and 387.66

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Solution

The fourth proportional to 667.47, 920.86 and 387.66 is: 534.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.47 : 920.86 = 387.66 : x
  2. Step 2: Convert to fraction form
    667.47/920.86 = 387.66/x
  3. Step 3: Cross multiply
    667.47x = 920.86 × 387.66
  4. Step 4: Simplify right side
    667.47x = 356,980.59
  5. Step 5: Solve for x
    x = 356,980.59/667.47
  6. Step 6: Final answer
    x = 534.83

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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.