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Finding the Fourth Proportional to 377.98, 521.66 and 230.58

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Solution

The fourth proportional to 377.98, 521.66 and 230.58 is: 318.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.98 : 521.66 = 230.58 : x
  2. Step 2: Convert to fraction form
    377.98/521.66 = 230.58/x
  3. Step 3: Cross multiply
    377.98x = 521.66 × 230.58
  4. Step 4: Simplify right side
    377.98x = 120,284.36
  5. Step 5: Solve for x
    x = 120,284.36/377.98
  6. Step 6: Final answer
    x = 318.23

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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.