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Finding the Fourth Proportional to 349.67, 482.55 and 202.31

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Solution

The fourth proportional to 349.67, 482.55 and 202.31 is: 279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.67 : 482.55 = 202.31 : x
  2. Step 2: Convert to fraction form
    349.67/482.55 = 202.31/x
  3. Step 3: Cross multiply
    349.67x = 482.55 × 202.31
  4. Step 4: Simplify right side
    349.67x = 97,627.75
  5. Step 5: Solve for x
    x = 97,627.75/349.67
  6. Step 6: Final answer
    x = 279.20

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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.