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Finding the Fourth Proportional to 426.48, 639.36 and 349.26

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Solution

The fourth proportional to 426.48, 639.36 and 349.26 is: 523.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.48 : 639.36 = 349.26 : x
  2. Step 2: Convert to fraction form
    426.48/639.36 = 349.26/x
  3. Step 3: Cross multiply
    426.48x = 639.36 × 349.26
  4. Step 4: Simplify right side
    426.48x = 223,302.87
  5. Step 5: Solve for x
    x = 223,302.87/426.48
  6. Step 6: Final answer
    x = 523.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.