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Finding the Fourth Proportional to 264.19, 396.34 and 215.32

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Solution

The fourth proportional to 264.19, 396.34 and 215.32 is: 323.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.19 : 396.34 = 215.32 : x
  2. Step 2: Convert to fraction form
    264.19/396.34 = 215.32/x
  3. Step 3: Cross multiply
    264.19x = 396.34 × 215.32
  4. Step 4: Simplify right side
    264.19x = 85,338.40
  5. Step 5: Solve for x
    x = 85,338.40/264.19
  6. Step 6: Final answer
    x = 323.02

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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.