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Finding the Fourth Proportional to 815.29, 1,222.63 and 328.19

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Solution

The fourth proportional to 815.29, 1,222.63 and 328.19 is: 492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.29 : 1,222.63 = 328.19 : x
  2. Step 2: Convert to fraction form
    815.29/1,222.63 = 328.19/x
  3. Step 3: Cross multiply
    815.29x = 1,222.63 × 328.19
  4. Step 4: Simplify right side
    815.29x = 401,248.01
  5. Step 5: Solve for x
    x = 401,248.01/815.29
  6. Step 6: Final answer
    x = 492.16

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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.