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Finding the Fourth Proportional to 544.49, 744.96 and 542.19

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Solution

The fourth proportional to 544.49, 744.96 and 542.19 is: 741.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.49 : 744.96 = 542.19 : x
  2. Step 2: Convert to fraction form
    544.49/744.96 = 542.19/x
  3. Step 3: Cross multiply
    544.49x = 744.96 × 542.19
  4. Step 4: Simplify right side
    544.49x = 403,909.86
  5. Step 5: Solve for x
    x = 403,909.86/544.49
  6. Step 6: Final answer
    x = 741.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.