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Finding the Fourth Proportional to 547.10, 821.87 and 474.20

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Solution

The fourth proportional to 547.10, 821.87 and 474.20 is: 712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.10 : 821.87 = 474.20 : x
  2. Step 2: Convert to fraction form
    547.10/821.87 = 474.20/x
  3. Step 3: Cross multiply
    547.10x = 821.87 × 474.20
  4. Step 4: Simplify right side
    547.10x = 389,728.38
  5. Step 5: Solve for x
    x = 389,728.38/547.10
  6. Step 6: Final answer
    x = 712.35

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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.