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Finding the Fourth Proportional to 547.04, 759.86 and 538.22

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Solution

The fourth proportional to 547.04, 759.86 and 538.22 is: 747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.04 : 759.86 = 538.22 : x
  2. Step 2: Convert to fraction form
    547.04/759.86 = 538.22/x
  3. Step 3: Cross multiply
    547.04x = 759.86 × 538.22
  4. Step 4: Simplify right side
    547.04x = 408,971.85
  5. Step 5: Solve for x
    x = 408,971.85/547.04
  6. Step 6: Final answer
    x = 747.61

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