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Finding the Fourth Proportional to 378.35, 567.53 and 275.14

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Solution

The fourth proportional to 378.35, 567.53 and 275.14 is: 412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.35 : 567.53 = 275.14 : x
  2. Step 2: Convert to fraction form
    378.35/567.53 = 275.14/x
  3. Step 3: Cross multiply
    378.35x = 567.53 × 275.14
  4. Step 4: Simplify right side
    378.35x = 156,150.20
  5. Step 5: Solve for x
    x = 156,150.20/378.35
  6. Step 6: Final answer
    x = 412.71

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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.