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Finding the Fourth Proportional to 278.08, 417.96 and 259.71

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Solution

The fourth proportional to 278.08, 417.96 and 259.71 is: 390.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.08 : 417.96 = 259.71 : x
  2. Step 2: Convert to fraction form
    278.08/417.96 = 259.71/x
  3. Step 3: Cross multiply
    278.08x = 417.96 × 259.71
  4. Step 4: Simplify right side
    278.08x = 108,546.82
  5. Step 5: Solve for x
    x = 108,546.82/278.08
  6. Step 6: Final answer
    x = 390.34

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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.