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Finding the Fourth Proportional to 378.48, 567.12 and 204.72

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Solution

The fourth proportional to 378.48, 567.12 and 204.72 is: 306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.48 : 567.12 = 204.72 : x
  2. Step 2: Convert to fraction form
    378.48/567.12 = 204.72/x
  3. Step 3: Cross multiply
    378.48x = 567.12 × 204.72
  4. Step 4: Simplify right side
    378.48x = 116,100.81
  5. Step 5: Solve for x
    x = 116,100.81/378.48
  6. Step 6: Final answer
    x = 306.76

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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.