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Finding the Fourth Proportional to 547.38, 820.02 and 286.98

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Solution

The fourth proportional to 547.38, 820.02 and 286.98 is: 429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.38 : 820.02 = 286.98 : x
  2. Step 2: Convert to fraction form
    547.38/820.02 = 286.98/x
  3. Step 3: Cross multiply
    547.38x = 820.02 × 286.98
  4. Step 4: Simplify right side
    547.38x = 235,329.34
  5. Step 5: Solve for x
    x = 235,329.34/547.38
  6. Step 6: Final answer
    x = 429.92

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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.