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Finding the Fourth Proportional to 815.83, 1,223.75 and 230.84

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Solution

The fourth proportional to 815.83, 1,223.75 and 230.84 is: 346.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.83 : 1,223.75 = 230.84 : x
  2. Step 2: Convert to fraction form
    815.83/1,223.75 = 230.84/x
  3. Step 3: Cross multiply
    815.83x = 1,223.75 × 230.84
  4. Step 4: Simplify right side
    815.83x = 282,487.77
  5. Step 5: Solve for x
    x = 282,487.77/815.83
  6. Step 6: Final answer
    x = 346.26

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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.