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Finding the Fourth Proportional to 810.38, 1,215.75 and 233.30

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Solution

The fourth proportional to 810.38, 1,215.75 and 233.30 is: 350.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.38 : 1,215.75 = 233.30 : x
  2. Step 2: Convert to fraction form
    810.38/1,215.75 = 233.30/x
  3. Step 3: Cross multiply
    810.38x = 1,215.75 × 233.30
  4. Step 4: Simplify right side
    810.38x = 283,634.48
  5. Step 5: Solve for x
    x = 283,634.48/810.38
  6. Step 6: Final answer
    x = 350.00

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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.