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Finding the Fourth Proportional to 540.66, 746.21 and 431.00

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Solution

The fourth proportional to 540.66, 746.21 and 431.00 is: 594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.66 : 746.21 = 431.00 : x
  2. Step 2: Convert to fraction form
    540.66/746.21 = 431.00/x
  3. Step 3: Cross multiply
    540.66x = 746.21 × 431.00
  4. Step 4: Simplify right side
    540.66x = 321,613.86
  5. Step 5: Solve for x
    x = 321,613.86/540.66
  6. Step 6: Final answer
    x = 594.85

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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.