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Finding the Fourth Proportional to 934.78, 1,401.74 and 276.42

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Solution

The fourth proportional to 934.78, 1,401.74 and 276.42 is: 414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.78 : 1,401.74 = 276.42 : x
  2. Step 2: Convert to fraction form
    934.78/1,401.74 = 276.42/x
  3. Step 3: Cross multiply
    934.78x = 1,401.74 × 276.42
  4. Step 4: Simplify right side
    934.78x = 387,474.53
  5. Step 5: Solve for x
    x = 387,474.53/934.78
  6. Step 6: Final answer
    x = 414.51

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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.