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Finding the Fourth Proportional to 278.32, 417.48 and 244.48

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Solution

The fourth proportional to 278.32, 417.48 and 244.48 is: 366.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.32 : 417.48 = 244.48 : x
  2. Step 2: Convert to fraction form
    278.32/417.48 = 244.48/x
  3. Step 3: Cross multiply
    278.32x = 417.48 × 244.48
  4. Step 4: Simplify right side
    278.32x = 102,065.51
  5. Step 5: Solve for x
    x = 102,065.51/278.32
  6. Step 6: Final answer
    x = 366.72

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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.