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Finding the Fourth Proportional to 426.16, 588.28 and 278.92

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Solution

The fourth proportional to 426.16, 588.28 and 278.92 is: 385.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.16 : 588.28 = 278.92 : x
  2. Step 2: Convert to fraction form
    426.16/588.28 = 278.92/x
  3. Step 3: Cross multiply
    426.16x = 588.28 × 278.92
  4. Step 4: Simplify right side
    426.16x = 164,083.06
  5. Step 5: Solve for x
    x = 164,083.06/426.16
  6. Step 6: Final answer
    x = 385.03

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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.