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Finding the Fourth Proportional to 377.89, 521.34 and 230.47

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Solution

The fourth proportional to 377.89, 521.34 and 230.47 is: 317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.89 : 521.34 = 230.47 : x
  2. Step 2: Convert to fraction form
    377.89/521.34 = 230.47/x
  3. Step 3: Cross multiply
    377.89x = 521.34 × 230.47
  4. Step 4: Simplify right side
    377.89x = 120,153.23
  5. Step 5: Solve for x
    x = 120,153.23/377.89
  6. Step 6: Final answer
    x = 317.96

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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.