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Finding the Fourth Proportional to 426.12, 588.04 and 278.48

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Solution

The fourth proportional to 426.12, 588.04 and 278.48 is: 384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.12 : 588.04 = 278.48 : x
  2. Step 2: Convert to fraction form
    426.12/588.04 = 278.48/x
  3. Step 3: Cross multiply
    426.12x = 588.04 × 278.48
  4. Step 4: Simplify right side
    426.12x = 163,753.05
  5. Step 5: Solve for x
    x = 163,753.05/426.12
  6. Step 6: Final answer
    x = 384.29

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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.