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Finding the Fourth Proportional to 378.73, 521.87 and 260.74

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Solution

The fourth proportional to 378.73, 521.87 and 260.74 is: 359.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.73 : 521.87 = 260.74 : x
  2. Step 2: Convert to fraction form
    378.73/521.87 = 260.74/x
  3. Step 3: Cross multiply
    378.73x = 521.87 × 260.74
  4. Step 4: Simplify right side
    378.73x = 136,072.38
  5. Step 5: Solve for x
    x = 136,072.38/378.73
  6. Step 6: Final answer
    x = 359.29

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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.