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Finding the Fourth Proportional to 349.26, 524.94 and 342.12

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Solution

The fourth proportional to 349.26, 524.94 and 342.12 is: 514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.26 : 524.94 = 342.12 : x
  2. Step 2: Convert to fraction form
    349.26/524.94 = 342.12/x
  3. Step 3: Cross multiply
    349.26x = 524.94 × 342.12
  4. Step 4: Simplify right side
    349.26x = 179,592.47
  5. Step 5: Solve for x
    x = 179,592.47/349.26
  6. Step 6: Final answer
    x = 514.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.