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Finding the Fourth Proportional to 815.24, 1,223.22 and 328.70

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Solution

The fourth proportional to 815.24, 1,223.22 and 328.70 is: 493.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.24 : 1,223.22 = 328.70 : x
  2. Step 2: Convert to fraction form
    815.24/1,223.22 = 328.70/x
  3. Step 3: Cross multiply
    815.24x = 1,223.22 × 328.70
  4. Step 4: Simplify right side
    815.24x = 402,072.41
  5. Step 5: Solve for x
    x = 402,072.41/815.24
  6. Step 6: Final answer
    x = 493.20

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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.