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Finding the Fourth Proportional to 352.60, 527.58 and 213.28

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Solution

The fourth proportional to 352.60, 527.58 and 213.28 is: 319.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.60 : 527.58 = 213.28 : x
  2. Step 2: Convert to fraction form
    352.60/527.58 = 213.28/x
  3. Step 3: Cross multiply
    352.60x = 527.58 × 213.28
  4. Step 4: Simplify right side
    352.60x = 112,522.26
  5. Step 5: Solve for x
    x = 112,522.26/352.60
  6. Step 6: Final answer
    x = 319.12

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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.