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Finding the Fourth Proportional to 426.14, 587.96 and 278.78

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Solution

The fourth proportional to 426.14, 587.96 and 278.78 is: 384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.14 : 587.96 = 278.78 : x
  2. Step 2: Convert to fraction form
    426.14/587.96 = 278.78/x
  3. Step 3: Cross multiply
    426.14x = 587.96 × 278.78
  4. Step 4: Simplify right side
    426.14x = 163,911.49
  5. Step 5: Solve for x
    x = 163,911.49/426.14
  6. Step 6: Final answer
    x = 384.64

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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.