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Finding the Fourth Proportional to 815.13, 1,221.66 and 352.37

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Solution

The fourth proportional to 815.13, 1,221.66 and 352.37 is: 528.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.13 : 1,221.66 = 352.37 : x
  2. Step 2: Convert to fraction form
    815.13/1,221.66 = 352.37/x
  3. Step 3: Cross multiply
    815.13x = 1,221.66 × 352.37
  4. Step 4: Simplify right side
    815.13x = 430,476.33
  5. Step 5: Solve for x
    x = 430,476.33/815.13
  6. Step 6: Final answer
    x = 528.11

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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.