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Finding the Fourth Proportional to 377.80, 521.34 and 230.56

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Solution

The fourth proportional to 377.80, 521.34 and 230.56 is: 318.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.80 : 521.34 = 230.56 : x
  2. Step 2: Convert to fraction form
    377.80/521.34 = 230.56/x
  3. Step 3: Cross multiply
    377.80x = 521.34 × 230.56
  4. Step 4: Simplify right side
    377.80x = 120,200.15
  5. Step 5: Solve for x
    x = 120,200.15/377.80
  6. Step 6: Final answer
    x = 318.16

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