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Finding the Fourth Proportional to 393.38, 542.85 and 277.10

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Solution

The fourth proportional to 393.38, 542.85 and 277.10 is: 382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.38 : 542.85 = 277.10 : x
  2. Step 2: Convert to fraction form
    393.38/542.85 = 277.10/x
  3. Step 3: Cross multiply
    393.38x = 542.85 × 277.10
  4. Step 4: Simplify right side
    393.38x = 150,423.74
  5. Step 5: Solve for x
    x = 150,423.74/393.38
  6. Step 6: Final answer
    x = 382.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.