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Finding the Fourth Proportional to 349.53, 482.31 and 202.13

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Solution

The fourth proportional to 349.53, 482.31 and 202.13 is: 278.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.53 : 482.31 = 202.13 : x
  2. Step 2: Convert to fraction form
    349.53/482.31 = 202.13/x
  3. Step 3: Cross multiply
    349.53x = 482.31 × 202.13
  4. Step 4: Simplify right side
    349.53x = 97,488.72
  5. Step 5: Solve for x
    x = 97,488.72/349.53
  6. Step 6: Final answer
    x = 278.92

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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.