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Finding the Fourth Proportional to 426.71, 588.89 and 252.11

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Solution

The fourth proportional to 426.71, 588.89 and 252.11 is: 347.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.71 : 588.89 = 252.11 : x
  2. Step 2: Convert to fraction form
    426.71/588.89 = 252.11/x
  3. Step 3: Cross multiply
    426.71x = 588.89 × 252.11
  4. Step 4: Simplify right side
    426.71x = 148,465.06
  5. Step 5: Solve for x
    x = 148,465.06/426.71
  6. Step 6: Final answer
    x = 347.93

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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.