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Finding the Fourth Proportional to 352.98, 487 and 213.15

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Solution

The fourth proportional to 352.98, 487 and 213.15 is: 294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.98 : 487 = 213.15 : x
  2. Step 2: Convert to fraction form
    352.98/487 = 213.15/x
  3. Step 3: Cross multiply
    352.98x = 487 × 213.15
  4. Step 4: Simplify right side
    352.98x = 103,804.05
  5. Step 5: Solve for x
    x = 103,804.05/352.98
  6. Step 6: Final answer
    x = 294.08

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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.