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Finding the Fourth Proportional to 542.44, 748.83 and 409.71

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Solution

The fourth proportional to 542.44, 748.83 and 409.71 is: 565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.44 : 748.83 = 409.71 : x
  2. Step 2: Convert to fraction form
    542.44/748.83 = 409.71/x
  3. Step 3: Cross multiply
    542.44x = 748.83 × 409.71
  4. Step 4: Simplify right side
    542.44x = 306,803.14
  5. Step 5: Solve for x
    x = 306,803.14/542.44
  6. Step 6: Final answer
    x = 565.60

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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.