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Finding the Fourth Proportional to 434.57, 652.05 and 422.82

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Solution

The fourth proportional to 434.57, 652.05 and 422.82 is: 634.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.57 : 652.05 = 422.82 : x
  2. Step 2: Convert to fraction form
    434.57/652.05 = 422.82/x
  3. Step 3: Cross multiply
    434.57x = 652.05 × 422.82
  4. Step 4: Simplify right side
    434.57x = 275,699.78
  5. Step 5: Solve for x
    x = 275,699.78/434.57
  6. Step 6: Final answer
    x = 634.43

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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.