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Finding the Fourth Proportional to 537.12, 740.61 and 431.87

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Solution

The fourth proportional to 537.12, 740.61 and 431.87 is: 595.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.12 : 740.61 = 431.87 : x
  2. Step 2: Convert to fraction form
    537.12/740.61 = 431.87/x
  3. Step 3: Cross multiply
    537.12x = 740.61 × 431.87
  4. Step 4: Simplify right side
    537.12x = 319,843.54
  5. Step 5: Solve for x
    x = 319,843.54/537.12
  6. Step 6: Final answer
    x = 595.48

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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.