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Finding the Fourth Proportional to 349.58, 482.33 and 209.70

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Solution

The fourth proportional to 349.58, 482.33 and 209.70 is: 289.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.58 : 482.33 = 209.70 : x
  2. Step 2: Convert to fraction form
    349.58/482.33 = 209.70/x
  3. Step 3: Cross multiply
    349.58x = 482.33 × 209.70
  4. Step 4: Simplify right side
    349.58x = 101,145.28
  5. Step 5: Solve for x
    x = 101,145.28/349.58
  6. Step 6: Final answer
    x = 289.34

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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.