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Finding the Fourth Proportional to 426.46, 588.06 and 343.48

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Solution

The fourth proportional to 426.46, 588.06 and 343.48 is: 473.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.46 : 588.06 = 343.48 : x
  2. Step 2: Convert to fraction form
    426.46/588.06 = 343.48/x
  3. Step 3: Cross multiply
    426.46x = 588.06 × 343.48
  4. Step 4: Simplify right side
    426.46x = 201,986.85
  5. Step 5: Solve for x
    x = 201,986.85/426.46
  6. Step 6: Final answer
    x = 473.64

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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.