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Finding the Fourth Proportional to 426.79, 588.55 and 343.63

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Solution

The fourth proportional to 426.79, 588.55 and 343.63 is: 473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.79 : 588.55 = 343.63 : x
  2. Step 2: Convert to fraction form
    426.79/588.55 = 343.63/x
  3. Step 3: Cross multiply
    426.79x = 588.55 × 343.63
  4. Step 4: Simplify right side
    426.79x = 202,238.78
  5. Step 5: Solve for x
    x = 202,238.78/426.79
  6. Step 6: Final answer
    x = 473.87

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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.