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Finding the Fourth Proportional to 810.78, 1,215.91 and 225.64

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Solution

The fourth proportional to 810.78, 1,215.91 and 225.64 is: 338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.78 : 1,215.91 = 225.64 : x
  2. Step 2: Convert to fraction form
    810.78/1,215.91 = 225.64/x
  3. Step 3: Cross multiply
    810.78x = 1,215.91 × 225.64
  4. Step 4: Simplify right side
    810.78x = 274,357.93
  5. Step 5: Solve for x
    x = 274,357.93/810.78
  6. Step 6: Final answer
    x = 338.39

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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.