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Finding the Fourth Proportional to 378.71, 567.00 and 204.75

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Solution

The fourth proportional to 378.71, 567.00 and 204.75 is: 306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.71 : 567.00 = 204.75 : x
  2. Step 2: Convert to fraction form
    378.71/567.00 = 204.75/x
  3. Step 3: Cross multiply
    378.71x = 567.00 × 204.75
  4. Step 4: Simplify right side
    378.71x = 116,093.51
  5. Step 5: Solve for x
    x = 116,093.51/378.71
  6. Step 6: Final answer
    x = 306.55

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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.