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Finding the Fourth Proportional to 345.97, 519.01 and 209.08

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Solution

The fourth proportional to 345.97, 519.01 and 209.08 is: 313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.97 : 519.01 = 209.08 : x
  2. Step 2: Convert to fraction form
    345.97/519.01 = 209.08/x
  3. Step 3: Cross multiply
    345.97x = 519.01 × 209.08
  4. Step 4: Simplify right side
    345.97x = 108,514.74
  5. Step 5: Solve for x
    x = 108,514.74/345.97
  6. Step 6: Final answer
    x = 313.65

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Why These Related Problems?

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