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Finding the Fourth Proportional to 340.44, 469.82 and 209.42

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Solution

The fourth proportional to 340.44, 469.82 and 209.42 is: 289.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.44 : 469.82 = 209.42 : x
  2. Step 2: Convert to fraction form
    340.44/469.82 = 209.42/x
  3. Step 3: Cross multiply
    340.44x = 469.82 × 209.42
  4. Step 4: Simplify right side
    340.44x = 98,389.70
  5. Step 5: Solve for x
    x = 98,389.70/340.44
  6. Step 6: Final answer
    x = 289.01

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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.