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Finding the Fourth Proportional to 547.70, 820.42 and 284.11

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Solution

The fourth proportional to 547.70, 820.42 and 284.11 is: 425.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.70 : 820.42 = 284.11 : x
  2. Step 2: Convert to fraction form
    547.70/820.42 = 284.11/x
  3. Step 3: Cross multiply
    547.70x = 820.42 × 284.11
  4. Step 4: Simplify right side
    547.70x = 233,086.76
  5. Step 5: Solve for x
    x = 233,086.76/547.70
  6. Step 6: Final answer
    x = 425.58

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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.