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Finding the Fourth Proportional to 817, 1,225.54 and 239.92

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Solution

The fourth proportional to 817, 1,225.54 and 239.92 is: 359.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    817 : 1,225.54 = 239.92 : x
  2. Step 2: Convert to fraction form
    817/1,225.54 = 239.92/x
  3. Step 3: Cross multiply
    817x = 1,225.54 × 239.92
  4. Step 4: Simplify right side
    817x = 294,031.56
  5. Step 5: Solve for x
    x = 294,031.56/817
  6. Step 6: Final answer
    x = 359.89

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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.