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Finding the Fourth Proportional to 278.93, 418.89 and 264.76

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Solution

The fourth proportional to 278.93, 418.89 and 264.76 is: 397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.93 : 418.89 = 264.76 : x
  2. Step 2: Convert to fraction form
    278.93/418.89 = 264.76/x
  3. Step 3: Cross multiply
    278.93x = 418.89 × 264.76
  4. Step 4: Simplify right side
    278.93x = 110,905.32
  5. Step 5: Solve for x
    x = 110,905.32/278.93
  6. Step 6: Final answer
    x = 397.61

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Why These Related Problems?

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