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Finding the Fourth Proportional to 410.78, 567.13 and 271.14

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Solution

The fourth proportional to 410.78, 567.13 and 271.14 is: 374.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.78 : 567.13 = 271.14 : x
  2. Step 2: Convert to fraction form
    410.78/567.13 = 271.14/x
  3. Step 3: Cross multiply
    410.78x = 567.13 × 271.14
  4. Step 4: Simplify right side
    410.78x = 153,771.63
  5. Step 5: Solve for x
    x = 153,771.63/410.78
  6. Step 6: Final answer
    x = 374.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.