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Finding the Fourth Proportional to 673.32, 929.70 and 542.91

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Solution

The fourth proportional to 673.32, 929.70 and 542.91 is: 749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.32 : 929.70 = 542.91 : x
  2. Step 2: Convert to fraction form
    673.32/929.70 = 542.91/x
  3. Step 3: Cross multiply
    673.32x = 929.70 × 542.91
  4. Step 4: Simplify right side
    673.32x = 504,743.43
  5. Step 5: Solve for x
    x = 504,743.43/673.32
  6. Step 6: Final answer
    x = 749.63

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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.