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Finding the Fourth Proportional to 426.16, 587.82 and 278.92

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Solution

The fourth proportional to 426.16, 587.82 and 278.92 is: 384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.16 : 587.82 = 278.92 : x
  2. Step 2: Convert to fraction form
    426.16/587.82 = 278.92/x
  3. Step 3: Cross multiply
    426.16x = 587.82 × 278.92
  4. Step 4: Simplify right side
    426.16x = 163,954.75
  5. Step 5: Solve for x
    x = 163,954.75/426.16
  6. Step 6: Final answer
    x = 384.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.