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Finding the Fourth Proportional to 378.64, 567.96 and 216.40

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Solution

The fourth proportional to 378.64, 567.96 and 216.40 is: 324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.64 : 567.96 = 216.40 : x
  2. Step 2: Convert to fraction form
    378.64/567.96 = 216.40/x
  3. Step 3: Cross multiply
    378.64x = 567.96 × 216.40
  4. Step 4: Simplify right side
    378.64x = 122,906.54
  5. Step 5: Solve for x
    x = 122,906.54/378.64
  6. Step 6: Final answer
    x = 324.60

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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.