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Finding the Fourth Proportional to 546.19, 758.98 and 540.57

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Solution

The fourth proportional to 546.19, 758.98 and 540.57 is: 751.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.19 : 758.98 = 540.57 : x
  2. Step 2: Convert to fraction form
    546.19/758.98 = 540.57/x
  3. Step 3: Cross multiply
    546.19x = 758.98 × 540.57
  4. Step 4: Simplify right side
    546.19x = 410,286.10
  5. Step 5: Solve for x
    x = 410,286.10/546.19
  6. Step 6: Final answer
    x = 751.17

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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.