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Finding the Fourth Proportional to 815.27, 1,223.00 and 382.32

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Solution

The fourth proportional to 815.27, 1,223.00 and 382.32 is: 573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.27 : 1,223.00 = 382.32 : x
  2. Step 2: Convert to fraction form
    815.27/1,223.00 = 382.32/x
  3. Step 3: Cross multiply
    815.27x = 1,223.00 × 382.32
  4. Step 4: Simplify right side
    815.27x = 467,575.45
  5. Step 5: Solve for x
    x = 467,575.45/815.27
  6. Step 6: Final answer
    x = 573.53

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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.