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Finding the Fourth Proportional to 544.68, 756.99 and 538.92

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Solution

The fourth proportional to 544.68, 756.99 and 538.92 is: 748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.68 : 756.99 = 538.92 : x
  2. Step 2: Convert to fraction form
    544.68/756.99 = 538.92/x
  3. Step 3: Cross multiply
    544.68x = 756.99 × 538.92
  4. Step 4: Simplify right side
    544.68x = 407,957.05
  5. Step 5: Solve for x
    x = 407,957.05/544.68
  6. Step 6: Final answer
    x = 748.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.