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Finding the Fourth Proportional to 546.88, 759.84 and 540

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Solution

The fourth proportional to 546.88, 759.84 and 540 is: 750.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.88 : 759.84 = 540 : x
  2. Step 2: Convert to fraction form
    546.88/759.84 = 540/x
  3. Step 3: Cross multiply
    546.88x = 759.84 × 540
  4. Step 4: Simplify right side
    546.88x = 410,313.60
  5. Step 5: Solve for x
    x = 410,313.60/546.88
  6. Step 6: Final answer
    x = 750.28

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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.