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Finding the Fourth Proportional to 352.68, 528.48 and 261.24

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Solution

The fourth proportional to 352.68, 528.48 and 261.24 is: 391.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.68 : 528.48 = 261.24 : x
  2. Step 2: Convert to fraction form
    352.68/528.48 = 261.24/x
  3. Step 3: Cross multiply
    352.68x = 528.48 × 261.24
  4. Step 4: Simplify right side
    352.68x = 138,060.12
  5. Step 5: Solve for x
    x = 138,060.12/352.68
  6. Step 6: Final answer
    x = 391.46

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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.