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Finding the Fourth Proportional to 345.90, 518.79 and 209.82

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Solution

The fourth proportional to 345.90, 518.79 and 209.82 is: 314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.90 : 518.79 = 209.82 : x
  2. Step 2: Convert to fraction form
    345.90/518.79 = 209.82/x
  3. Step 3: Cross multiply
    345.90x = 518.79 × 209.82
  4. Step 4: Simplify right side
    345.90x = 108,852.52
  5. Step 5: Solve for x
    x = 108,852.52/345.90
  6. Step 6: Final answer
    x = 314.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.