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Finding the Fourth Proportional to 345.06, 475.44 and 234.34

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Solution

The fourth proportional to 345.06, 475.44 and 234.34 is: 322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.06 : 475.44 = 234.34 : x
  2. Step 2: Convert to fraction form
    345.06/475.44 = 234.34/x
  3. Step 3: Cross multiply
    345.06x = 475.44 × 234.34
  4. Step 4: Simplify right side
    345.06x = 111,414.61
  5. Step 5: Solve for x
    x = 111,414.61/345.06
  6. Step 6: Final answer
    x = 322.89

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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.