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Finding the Fourth Proportional to 349.69, 482.57 and 202.31

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Solution

The fourth proportional to 349.69, 482.57 and 202.31 is: 279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.69 : 482.57 = 202.31 : x
  2. Step 2: Convert to fraction form
    349.69/482.57 = 202.31/x
  3. Step 3: Cross multiply
    349.69x = 482.57 × 202.31
  4. Step 4: Simplify right side
    349.69x = 97,628.74
  5. Step 5: Solve for x
    x = 97,628.74/349.69
  6. Step 6: Final answer
    x = 279.19

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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.