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Finding the Fourth Proportional to 426.60, 588.50 and 252.04

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Solution

The fourth proportional to 426.60, 588.50 and 252.04 is: 347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.60 : 588.50 = 252.04 : x
  2. Step 2: Convert to fraction form
    426.60/588.50 = 252.04/x
  3. Step 3: Cross multiply
    426.60x = 588.50 × 252.04
  4. Step 4: Simplify right side
    426.60x = 148,325.54
  5. Step 5: Solve for x
    x = 148,325.54/426.60
  6. Step 6: Final answer
    x = 347.69

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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.