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Finding the Fourth Proportional to 345.18, 475.88 and 234.46

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Solution

The fourth proportional to 345.18, 475.88 and 234.46 is: 323.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.18 : 475.88 = 234.46 : x
  2. Step 2: Convert to fraction form
    345.18/475.88 = 234.46/x
  3. Step 3: Cross multiply
    345.18x = 475.88 × 234.46
  4. Step 4: Simplify right side
    345.18x = 111,573.57
  5. Step 5: Solve for x
    x = 111,573.57/345.18
  6. Step 6: Final answer
    x = 323.24

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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.