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Finding the Fourth Proportional to 546.27, 815.10 and 494.04

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Solution

The fourth proportional to 546.27, 815.10 and 494.04 is: 737.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.27 : 815.10 = 494.04 : x
  2. Step 2: Convert to fraction form
    546.27/815.10 = 494.04/x
  3. Step 3: Cross multiply
    546.27x = 815.10 × 494.04
  4. Step 4: Simplify right side
    546.27x = 402,692.00
  5. Step 5: Solve for x
    x = 402,692.00/546.27
  6. Step 6: Final answer
    x = 737.17

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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.