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Finding the Fourth Proportional to 810.27, 1,215.51 and 233.16

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Solution

The fourth proportional to 810.27, 1,215.51 and 233.16 is: 349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.27 : 1,215.51 = 233.16 : x
  2. Step 2: Convert to fraction form
    810.27/1,215.51 = 233.16/x
  3. Step 3: Cross multiply
    810.27x = 1,215.51 × 233.16
  4. Step 4: Simplify right side
    810.27x = 283,408.31
  5. Step 5: Solve for x
    x = 283,408.31/810.27
  6. Step 6: Final answer
    x = 349.77

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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.