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Finding the Fourth Proportional to 548.72, 757.08 and 431.92

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Solution

The fourth proportional to 548.72, 757.08 and 431.92 is: 595.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.72 : 757.08 = 431.92 : x
  2. Step 2: Convert to fraction form
    548.72/757.08 = 431.92/x
  3. Step 3: Cross multiply
    548.72x = 757.08 × 431.92
  4. Step 4: Simplify right side
    548.72x = 326,997.99
  5. Step 5: Solve for x
    x = 326,997.99/548.72
  6. Step 6: Final answer
    x = 595.93

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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.