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Finding the Fourth Proportional to 378, 567.52 and 270.40

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Solution

The fourth proportional to 378, 567.52 and 270.40 is: 405.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378 : 567.52 = 270.40 : x
  2. Step 2: Convert to fraction form
    378/567.52 = 270.40/x
  3. Step 3: Cross multiply
    378x = 567.52 × 270.40
  4. Step 4: Simplify right side
    378x = 153,457.41
  5. Step 5: Solve for x
    x = 153,457.41/378
  6. Step 6: Final answer
    x = 405.97

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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.