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Finding the Fourth Proportional to 540.91, 746.29 and 319.78

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Solution

The fourth proportional to 540.91, 746.29 and 319.78 is: 441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.91 : 746.29 = 319.78 : x
  2. Step 2: Convert to fraction form
    540.91/746.29 = 319.78/x
  3. Step 3: Cross multiply
    540.91x = 746.29 × 319.78
  4. Step 4: Simplify right side
    540.91x = 238,645.95
  5. Step 5: Solve for x
    x = 238,645.95/540.91
  6. Step 6: Final answer
    x = 441.20

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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.