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Finding the Fourth Proportional to 901.08, 1,351.14 and 352.86

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Solution

The fourth proportional to 901.08, 1,351.14 and 352.86 is: 529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.08 : 1,351.14 = 352.86 : x
  2. Step 2: Convert to fraction form
    901.08/1,351.14 = 352.86/x
  3. Step 3: Cross multiply
    901.08x = 1,351.14 × 352.86
  4. Step 4: Simplify right side
    901.08x = 476,763.26
  5. Step 5: Solve for x
    x = 476,763.26/901.08
  6. Step 6: Final answer
    x = 529.10

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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.