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Finding the Fourth Proportional to 815.12, 1,222.84 and 302.16

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Solution

The fourth proportional to 815.12, 1,222.84 and 302.16 is: 453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.12 : 1,222.84 = 302.16 : x
  2. Step 2: Convert to fraction form
    815.12/1,222.84 = 302.16/x
  3. Step 3: Cross multiply
    815.12x = 1,222.84 × 302.16
  4. Step 4: Simplify right side
    815.12x = 369,493.33
  5. Step 5: Solve for x
    x = 369,493.33/815.12
  6. Step 6: Final answer
    x = 453.30

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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.