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Finding the Fourth Proportional to 810.56, 1,215.82 and 233.43

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Solution

The fourth proportional to 810.56, 1,215.82 and 233.43 is: 350.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.56 : 1,215.82 = 233.43 : x
  2. Step 2: Convert to fraction form
    810.56/1,215.82 = 233.43/x
  3. Step 3: Cross multiply
    810.56x = 1,215.82 × 233.43
  4. Step 4: Simplify right side
    810.56x = 283,807.70
  5. Step 5: Solve for x
    x = 283,807.70/810.56
  6. Step 6: Final answer
    x = 350.14

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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.