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Finding the Fourth Proportional to 546.52, 814.06 and 544.60

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Solution

The fourth proportional to 546.52, 814.06 and 544.60 is: 811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.52 : 814.06 = 544.60 : x
  2. Step 2: Convert to fraction form
    546.52/814.06 = 544.60/x
  3. Step 3: Cross multiply
    546.52x = 814.06 × 544.60
  4. Step 4: Simplify right side
    546.52x = 443,337.08
  5. Step 5: Solve for x
    x = 443,337.08/546.52
  6. Step 6: Final answer
    x = 811.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.