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Finding the Fourth Proportional to 345.52, 475.96 and 279.84

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Solution

The fourth proportional to 345.52, 475.96 and 279.84 is: 385.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.52 : 475.96 = 279.84 : x
  2. Step 2: Convert to fraction form
    345.52/475.96 = 279.84/x
  3. Step 3: Cross multiply
    345.52x = 475.96 × 279.84
  4. Step 4: Simplify right side
    345.52x = 133,192.65
  5. Step 5: Solve for x
    x = 133,192.65/345.52
  6. Step 6: Final answer
    x = 385.48

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