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Finding the Fourth Proportional to 547.34, 820.24 and 286.82

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Solution

The fourth proportional to 547.34, 820.24 and 286.82 is: 429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.34 : 820.24 = 286.82 : x
  2. Step 2: Convert to fraction form
    547.34/820.24 = 286.82/x
  3. Step 3: Cross multiply
    547.34x = 820.24 × 286.82
  4. Step 4: Simplify right side
    547.34x = 235,261.24
  5. Step 5: Solve for x
    x = 235,261.24/547.34
  6. Step 6: Final answer
    x = 429.83

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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.