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Finding the Fourth Proportional to 901.24, 1,352.28 and 381.16

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Solution

The fourth proportional to 901.24, 1,352.28 and 381.16 is: 571.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.24 : 1,352.28 = 381.16 : x
  2. Step 2: Convert to fraction form
    901.24/1,352.28 = 381.16/x
  3. Step 3: Cross multiply
    901.24x = 1,352.28 × 381.16
  4. Step 4: Simplify right side
    901.24x = 515,435.04
  5. Step 5: Solve for x
    x = 515,435.04/901.24
  6. Step 6: Final answer
    x = 571.92

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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.