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Finding the Fourth Proportional to 349.59, 482.29 and 202.17

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Solution

The fourth proportional to 349.59, 482.29 and 202.17 is: 278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.59 : 482.29 = 202.17 : x
  2. Step 2: Convert to fraction form
    349.59/482.29 = 202.17/x
  3. Step 3: Cross multiply
    349.59x = 482.29 × 202.17
  4. Step 4: Simplify right side
    349.59x = 97,504.57
  5. Step 5: Solve for x
    x = 97,504.57/349.59
  6. Step 6: Final answer
    x = 278.91

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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.