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Finding the Fourth Proportional to 901.42, 1,352.10 and 252.14

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Solution

The fourth proportional to 901.42, 1,352.10 and 252.14 is: 378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.42 : 1,352.10 = 252.14 : x
  2. Step 2: Convert to fraction form
    901.42/1,352.10 = 252.14/x
  3. Step 3: Cross multiply
    901.42x = 1,352.10 × 252.14
  4. Step 4: Simplify right side
    901.42x = 340,912.68
  5. Step 5: Solve for x
    x = 340,912.68/901.42
  6. Step 6: Final answer
    x = 378.20

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Double scale
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1.5x scale

Why These Related Problems?

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