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Finding the Fourth Proportional to 394.30, 591.24 and 177.76

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Solution

The fourth proportional to 394.30, 591.24 and 177.76 is: 266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.30 : 591.24 = 177.76 : x
  2. Step 2: Convert to fraction form
    394.30/591.24 = 177.76/x
  3. Step 3: Cross multiply
    394.30x = 591.24 × 177.76
  4. Step 4: Simplify right side
    394.30x = 105,095.87
  5. Step 5: Solve for x
    x = 105,095.87/394.30
  6. Step 6: Final answer
    x = 266.54

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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.