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Finding the Fourth Proportional to 352.02, 527.60 and 215.12

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Solution

The fourth proportional to 352.02, 527.60 and 215.12 is: 322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.02 : 527.60 = 215.12 : x
  2. Step 2: Convert to fraction form
    352.02/527.60 = 215.12/x
  3. Step 3: Cross multiply
    352.02x = 527.60 × 215.12
  4. Step 4: Simplify right side
    352.02x = 113,497.31
  5. Step 5: Solve for x
    x = 113,497.31/352.02
  6. Step 6: Final answer
    x = 322.42

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Why These Related Problems?

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