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Finding the Fourth Proportional to 426.09, 588.35 and 347.42

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Solution

The fourth proportional to 426.09, 588.35 and 347.42 is: 479.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.09 : 588.35 = 347.42 : x
  2. Step 2: Convert to fraction form
    426.09/588.35 = 347.42/x
  3. Step 3: Cross multiply
    426.09x = 588.35 × 347.42
  4. Step 4: Simplify right side
    426.09x = 204,404.56
  5. Step 5: Solve for x
    x = 204,404.56/426.09
  6. Step 6: Final answer
    x = 479.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.