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Finding the Fourth Proportional to 547.83, 820.89 and 385.20

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Solution

The fourth proportional to 547.83, 820.89 and 385.20 is: 577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.83 : 820.89 = 385.20 : x
  2. Step 2: Convert to fraction form
    547.83/820.89 = 385.20/x
  3. Step 3: Cross multiply
    547.83x = 820.89 × 385.20
  4. Step 4: Simplify right side
    547.83x = 316,206.83
  5. Step 5: Solve for x
    x = 316,206.83/547.83
  6. Step 6: Final answer
    x = 577.20

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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.