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Finding the Fourth Proportional to 810.14, 1,215.40 and 233

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Solution

The fourth proportional to 810.14, 1,215.40 and 233 is: 349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.14 : 1,215.40 = 233 : x
  2. Step 2: Convert to fraction form
    810.14/1,215.40 = 233/x
  3. Step 3: Cross multiply
    810.14x = 1,215.40 × 233
  4. Step 4: Simplify right side
    810.14x = 283,188.20
  5. Step 5: Solve for x
    x = 283,188.20/810.14
  6. Step 6: Final answer
    x = 349.55

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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.