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Finding the Fourth Proportional to 547.85, 821.12 and 316.89

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Solution

The fourth proportional to 547.85, 821.12 and 316.89 is: 474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.85 : 821.12 = 316.89 : x
  2. Step 2: Convert to fraction form
    547.85/821.12 = 316.89/x
  3. Step 3: Cross multiply
    547.85x = 821.12 × 316.89
  4. Step 4: Simplify right side
    547.85x = 260,203.13
  5. Step 5: Solve for x
    x = 260,203.13/547.85
  6. Step 6: Final answer
    x = 474.96

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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.