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Finding the Fourth Proportional to 377.57, 521.30 and 237.74

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Solution

The fourth proportional to 377.57, 521.30 and 237.74 is: 328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.57 : 521.30 = 237.74 : x
  2. Step 2: Convert to fraction form
    377.57/521.30 = 237.74/x
  3. Step 3: Cross multiply
    377.57x = 521.30 × 237.74
  4. Step 4: Simplify right side
    377.57x = 123,933.86
  5. Step 5: Solve for x
    x = 123,933.86/377.57
  6. Step 6: Final answer
    x = 328.24

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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.