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Finding the Fourth Proportional to 435.70, 652.13 and 252.64

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Solution

The fourth proportional to 435.70, 652.13 and 252.64 is: 378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.70 : 652.13 = 252.64 : x
  2. Step 2: Convert to fraction form
    435.70/652.13 = 252.64/x
  3. Step 3: Cross multiply
    435.70x = 652.13 × 252.64
  4. Step 4: Simplify right side
    435.70x = 164,754.12
  5. Step 5: Solve for x
    x = 164,754.12/435.70
  6. Step 6: Final answer
    x = 378.14

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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.