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Finding the Fourth Proportional to 901.40, 1,351.17 and 352.83

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Solution

The fourth proportional to 901.40, 1,351.17 and 352.83 is: 528.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.40 : 1,351.17 = 352.83 : x
  2. Step 2: Convert to fraction form
    901.40/1,351.17 = 352.83/x
  3. Step 3: Cross multiply
    901.40x = 1,351.17 × 352.83
  4. Step 4: Simplify right side
    901.40x = 476,733.31
  5. Step 5: Solve for x
    x = 476,733.31/901.40
  6. Step 6: Final answer
    x = 528.88

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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.