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Finding the Fourth Proportional to 435.11, 652.77 and 252.17

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Solution

The fourth proportional to 435.11, 652.77 and 252.17 is: 378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.11 : 652.77 = 252.17 : x
  2. Step 2: Convert to fraction form
    435.11/652.77 = 252.17/x
  3. Step 3: Cross multiply
    435.11x = 652.77 × 252.17
  4. Step 4: Simplify right side
    435.11x = 164,609.01
  5. Step 5: Solve for x
    x = 164,609.01/435.11
  6. Step 6: Final answer
    x = 378.32

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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.