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Finding the Fourth Proportional to 540.91, 746.56 and 431.25

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Solution

The fourth proportional to 540.91, 746.56 and 431.25 is: 595.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.91 : 746.56 = 431.25 : x
  2. Step 2: Convert to fraction form
    540.91/746.56 = 431.25/x
  3. Step 3: Cross multiply
    540.91x = 746.56 × 431.25
  4. Step 4: Simplify right side
    540.91x = 321,954
  5. Step 5: Solve for x
    x = 321,954/540.91
  6. Step 6: Final answer
    x = 595.21

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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.