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Finding the Fourth Proportional to 667.38, 921.45 and 542.84

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Solution

The fourth proportional to 667.38, 921.45 and 542.84 is: 749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.38 : 921.45 = 542.84 : x
  2. Step 2: Convert to fraction form
    667.38/921.45 = 542.84/x
  3. Step 3: Cross multiply
    667.38x = 921.45 × 542.84
  4. Step 4: Simplify right side
    667.38x = 500,199.92
  5. Step 5: Solve for x
    x = 500,199.92/667.38
  6. Step 6: Final answer
    x = 749.50

Related Problems

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Half scale
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Double scale
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1.5x scale

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.