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Finding the Fourth Proportional to 352.93, 487.02 and 213.02

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Solution

The fourth proportional to 352.93, 487.02 and 213.02 is: 293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.93 : 487.02 = 213.02 : x
  2. Step 2: Convert to fraction form
    352.93/487.02 = 213.02/x
  3. Step 3: Cross multiply
    352.93x = 487.02 × 213.02
  4. Step 4: Simplify right side
    352.93x = 103,745.00
  5. Step 5: Solve for x
    x = 103,745.00/352.93
  6. Step 6: Final answer
    x = 293.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.