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Finding the Fourth Proportional to 546.24, 820.80 and 537.60

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Solution

The fourth proportional to 546.24, 820.80 and 537.60 is: 807.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.24 : 820.80 = 537.60 : x
  2. Step 2: Convert to fraction form
    546.24/820.80 = 537.60/x
  3. Step 3: Cross multiply
    546.24x = 820.80 × 537.60
  4. Step 4: Simplify right side
    546.24x = 441,262.08
  5. Step 5: Solve for x
    x = 441,262.08/546.24
  6. Step 6: Final answer
    x = 807.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.