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Finding the Fourth Proportional to 810.13, 1,215.06 and 233.05

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Solution

The fourth proportional to 810.13, 1,215.06 and 233.05 is: 349.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.13 : 1,215.06 = 233.05 : x
  2. Step 2: Convert to fraction form
    810.13/1,215.06 = 233.05/x
  3. Step 3: Cross multiply
    810.13x = 1,215.06 × 233.05
  4. Step 4: Simplify right side
    810.13x = 283,169.73
  5. Step 5: Solve for x
    x = 283,169.73/810.13
  6. Step 6: Final answer
    x = 349.54

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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.