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Finding the Fourth Proportional to 400.78, 552.27 and 260.74

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Solution

The fourth proportional to 400.78, 552.27 and 260.74 is: 359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.78 : 552.27 = 260.74 : x
  2. Step 2: Convert to fraction form
    400.78/552.27 = 260.74/x
  3. Step 3: Cross multiply
    400.78x = 552.27 × 260.74
  4. Step 4: Simplify right side
    400.78x = 143,998.88
  5. Step 5: Solve for x
    x = 143,998.88/400.78
  6. Step 6: Final answer
    x = 359.30

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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.