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Finding the Fourth Proportional to 378.38, 522.57 and 260.66

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Solution

The fourth proportional to 378.38, 522.57 and 260.66 is: 359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.38 : 522.57 = 260.66 : x
  2. Step 2: Convert to fraction form
    378.38/522.57 = 260.66/x
  3. Step 3: Cross multiply
    378.38x = 522.57 × 260.66
  4. Step 4: Simplify right side
    378.38x = 136,213.10
  5. Step 5: Solve for x
    x = 136,213.10/378.38
  6. Step 6: Final answer
    x = 359.99

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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.