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Finding the Fourth Proportional to 815.51, 1,223.46 and 382.16

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Solution

The fourth proportional to 815.51, 1,223.46 and 382.16 is: 573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.51 : 1,223.46 = 382.16 : x
  2. Step 2: Convert to fraction form
    815.51/1,223.46 = 382.16/x
  3. Step 3: Cross multiply
    815.51x = 1,223.46 × 382.16
  4. Step 4: Simplify right side
    815.51x = 467,551.36
  5. Step 5: Solve for x
    x = 467,551.36/815.51
  6. Step 6: Final answer
    x = 573.33

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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.