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Finding the Fourth Proportional to 400.14, 600.26 and 278.10

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Solution

The fourth proportional to 400.14, 600.26 and 278.10 is: 417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.14 : 600.26 = 278.10 : x
  2. Step 2: Convert to fraction form
    400.14/600.26 = 278.10/x
  3. Step 3: Cross multiply
    400.14x = 600.26 × 278.10
  4. Step 4: Simplify right side
    400.14x = 166,932.31
  5. Step 5: Solve for x
    x = 166,932.31/400.14
  6. Step 6: Final answer
    x = 417.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.