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Finding the Fourth Proportional to 901.32, 1,352.04 and 380.80

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Solution

The fourth proportional to 901.32, 1,352.04 and 380.80 is: 571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.32 : 1,352.04 = 380.80 : x
  2. Step 2: Convert to fraction form
    901.32/1,352.04 = 380.80/x
  3. Step 3: Cross multiply
    901.32x = 1,352.04 × 380.80
  4. Step 4: Simplify right side
    901.32x = 514,857.09
  5. Step 5: Solve for x
    x = 514,857.09/901.32
  6. Step 6: Final answer
    x = 571.23

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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.