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Finding the Fourth Proportional to 349.35, 482.14 and 209.45

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Solution

The fourth proportional to 349.35, 482.14 and 209.45 is: 289.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.35 : 482.14 = 209.45 : x
  2. Step 2: Convert to fraction form
    349.35/482.14 = 209.45/x
  3. Step 3: Cross multiply
    349.35x = 482.14 × 209.45
  4. Step 4: Simplify right side
    349.35x = 100,984.22
  5. Step 5: Solve for x
    x = 100,984.22/349.35
  6. Step 6: Final answer
    x = 289.06

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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.