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Finding the Fourth Proportional to 349.43, 482.25 and 209.55

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Solution

The fourth proportional to 349.43, 482.25 and 209.55 is: 289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.43 : 482.25 = 209.55 : x
  2. Step 2: Convert to fraction form
    349.43/482.25 = 209.55/x
  3. Step 3: Cross multiply
    349.43x = 482.25 × 209.55
  4. Step 4: Simplify right side
    349.43x = 101,055.49
  5. Step 5: Solve for x
    x = 101,055.49/349.43
  6. Step 6: Final answer
    x = 289.21

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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.