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Finding the Fourth Proportional to 817, 1,225.20 and 269.02

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Solution

The fourth proportional to 817, 1,225.20 and 269.02 is: 403.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    817 : 1,225.20 = 269.02 : x
  2. Step 2: Convert to fraction form
    817/1,225.20 = 269.02/x
  3. Step 3: Cross multiply
    817x = 1,225.20 × 269.02
  4. Step 4: Simplify right side
    817x = 329,603.30
  5. Step 5: Solve for x
    x = 329,603.30/817
  6. Step 6: Final answer
    x = 403.43

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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.