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Finding the Fourth Proportional to 278.32, 414.88 and 262.64

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Solution

The fourth proportional to 278.32, 414.88 and 262.64 is: 391.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.32 : 414.88 = 262.64 : x
  2. Step 2: Convert to fraction form
    278.32/414.88 = 262.64/x
  3. Step 3: Cross multiply
    278.32x = 414.88 × 262.64
  4. Step 4: Simplify right side
    278.32x = 108,964.08
  5. Step 5: Solve for x
    x = 108,964.08/278.32
  6. Step 6: Final answer
    x = 391.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.