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Finding the Fourth Proportional to 378.65, 522.36 and 260.44

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Solution

The fourth proportional to 378.65, 522.36 and 260.44 is: 359.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.65 : 522.36 = 260.44 : x
  2. Step 2: Convert to fraction form
    378.65/522.36 = 260.44/x
  3. Step 3: Cross multiply
    378.65x = 522.36 × 260.44
  4. Step 4: Simplify right side
    378.65x = 136,042.13
  5. Step 5: Solve for x
    x = 136,042.13/378.65
  6. Step 6: Final answer
    x = 359.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.