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Finding the Fourth Proportional to 815.18, 1,223.04 and 382

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Solution

The fourth proportional to 815.18, 1,223.04 and 382 is: 573.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.18 : 1,223.04 = 382 : x
  2. Step 2: Convert to fraction form
    815.18/1,223.04 = 382/x
  3. Step 3: Cross multiply
    815.18x = 1,223.04 × 382
  4. Step 4: Simplify right side
    815.18x = 467,201.28
  5. Step 5: Solve for x
    x = 467,201.28/815.18
  6. Step 6: Final answer
    x = 573.13

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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.