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Finding the Fourth Proportional to 542.92, 749.32 and 433.26

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Solution

The fourth proportional to 542.92, 749.32 and 433.26 is: 597.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.92 : 749.32 = 433.26 : x
  2. Step 2: Convert to fraction form
    542.92/749.32 = 433.26/x
  3. Step 3: Cross multiply
    542.92x = 749.32 × 433.26
  4. Step 4: Simplify right side
    542.92x = 324,650.38
  5. Step 5: Solve for x
    x = 324,650.38/542.92
  6. Step 6: Final answer
    x = 597.97

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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.