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Finding the Fourth Proportional to 547.32, 821.16 and 200.72

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Solution

The fourth proportional to 547.32, 821.16 and 200.72 is: 301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.32 : 821.16 = 200.72 : x
  2. Step 2: Convert to fraction form
    547.32/821.16 = 200.72/x
  3. Step 3: Cross multiply
    547.32x = 821.16 × 200.72
  4. Step 4: Simplify right side
    547.32x = 164,823.24
  5. Step 5: Solve for x
    x = 164,823.24/547.32
  6. Step 6: Final answer
    x = 301.15

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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.