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Finding the Fourth Proportional to 426.10, 588.09 and 278.47

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Solution

The fourth proportional to 426.10, 588.09 and 278.47 is: 384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.10 : 588.09 = 278.47 : x
  2. Step 2: Convert to fraction form
    426.10/588.09 = 278.47/x
  3. Step 3: Cross multiply
    426.10x = 588.09 × 278.47
  4. Step 4: Simplify right side
    426.10x = 163,765.42
  5. Step 5: Solve for x
    x = 163,765.42/426.10
  6. Step 6: Final answer
    x = 384.34

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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.