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Finding the Fourth Proportional to 817.38, 1,225.14 and 269.42

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Solution

The fourth proportional to 817.38, 1,225.14 and 269.42 is: 403.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.38 : 1,225.14 = 269.42 : x
  2. Step 2: Convert to fraction form
    817.38/1,225.14 = 269.42/x
  3. Step 3: Cross multiply
    817.38x = 1,225.14 × 269.42
  4. Step 4: Simplify right side
    817.38x = 330,071.09
  5. Step 5: Solve for x
    x = 330,071.09/817.38
  6. Step 6: Final answer
    x = 403.82

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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.