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Finding the Fourth Proportional to 315.84, 436.10 and 233.07

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Solution

The fourth proportional to 315.84, 436.10 and 233.07 is: 321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.84 : 436.10 = 233.07 : x
  2. Step 2: Convert to fraction form
    315.84/436.10 = 233.07/x
  3. Step 3: Cross multiply
    315.84x = 436.10 × 233.07
  4. Step 4: Simplify right side
    315.84x = 101,640.66
  5. Step 5: Solve for x
    x = 101,640.66/315.84
  6. Step 6: Final answer
    x = 321.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.