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Finding the Fourth Proportional to 298.72, 412.38 and 233.56

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Solution

The fourth proportional to 298.72, 412.38 and 233.56 is: 322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.72 : 412.38 = 233.56 : x
  2. Step 2: Convert to fraction form
    298.72/412.38 = 233.56/x
  3. Step 3: Cross multiply
    298.72x = 412.38 × 233.56
  4. Step 4: Simplify right side
    298.72x = 96,315.47
  5. Step 5: Solve for x
    x = 96,315.47/298.72
  6. Step 6: Final answer
    x = 322.43

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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.