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Finding the Fourth Proportional to 547.21, 821.17 and 239.07

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Solution

The fourth proportional to 547.21, 821.17 and 239.07 is: 358.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.21 : 821.17 = 239.07 : x
  2. Step 2: Convert to fraction form
    547.21/821.17 = 239.07/x
  3. Step 3: Cross multiply
    547.21x = 821.17 × 239.07
  4. Step 4: Simplify right side
    547.21x = 196,317.11
  5. Step 5: Solve for x
    x = 196,317.11/547.21
  6. Step 6: Final answer
    x = 358.76

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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.