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Finding the Fourth Proportional to 340.39, 469.97 and 209.58

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Solution

The fourth proportional to 340.39, 469.97 and 209.58 is: 289.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.39 : 469.97 = 209.58 : x
  2. Step 2: Convert to fraction form
    340.39/469.97 = 209.58/x
  3. Step 3: Cross multiply
    340.39x = 469.97 × 209.58
  4. Step 4: Simplify right side
    340.39x = 98,496.31
  5. Step 5: Solve for x
    x = 98,496.31/340.39
  6. Step 6: Final answer
    x = 289.36

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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.