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Finding the Fourth Proportional to 815.74, 1,223.10 and 328.23

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Solution

The fourth proportional to 815.74, 1,223.10 and 328.23 is: 492.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.74 : 1,223.10 = 328.23 : x
  2. Step 2: Convert to fraction form
    815.74/1,223.10 = 328.23/x
  3. Step 3: Cross multiply
    815.74x = 1,223.10 × 328.23
  4. Step 4: Simplify right side
    815.74x = 401,458.11
  5. Step 5: Solve for x
    x = 401,458.11/815.74
  6. Step 6: Final answer
    x = 492.14

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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.