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Finding the Fourth Proportional to 426.24, 587.52 and 278.48

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Solution

The fourth proportional to 426.24, 587.52 and 278.48 is: 383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.24 : 587.52 = 278.48 : x
  2. Step 2: Convert to fraction form
    426.24/587.52 = 278.48/x
  3. Step 3: Cross multiply
    426.24x = 587.52 × 278.48
  4. Step 4: Simplify right side
    426.24x = 163,612.57
  5. Step 5: Solve for x
    x = 163,612.57/426.24
  6. Step 6: Final answer
    x = 383.85

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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.