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Finding the Fourth Proportional to 540.88, 746.36 and 319.82

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Solution

The fourth proportional to 540.88, 746.36 and 319.82 is: 441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.88 : 746.36 = 319.82 : x
  2. Step 2: Convert to fraction form
    540.88/746.36 = 319.82/x
  3. Step 3: Cross multiply
    540.88x = 746.36 × 319.82
  4. Step 4: Simplify right side
    540.88x = 238,700.86
  5. Step 5: Solve for x
    x = 238,700.86/540.88
  6. Step 6: Final answer
    x = 441.32

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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.