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Finding the Fourth Proportional to 426.64, 588.23 and 279.04

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Solution

The fourth proportional to 426.64, 588.23 and 279.04 is: 384.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.64 : 588.23 = 279.04 : x
  2. Step 2: Convert to fraction form
    426.64/588.23 = 279.04/x
  3. Step 3: Cross multiply
    426.64x = 588.23 × 279.04
  4. Step 4: Simplify right side
    426.64x = 164,138.30
  5. Step 5: Solve for x
    x = 164,138.30/426.64
  6. Step 6: Final answer
    x = 384.72

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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.