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Finding the Fourth Proportional to 277.83, 414.47 and 251.71

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Solution

The fourth proportional to 277.83, 414.47 and 251.71 is: 375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.83 : 414.47 = 251.71 : x
  2. Step 2: Convert to fraction form
    277.83/414.47 = 251.71/x
  3. Step 3: Cross multiply
    277.83x = 414.47 × 251.71
  4. Step 4: Simplify right side
    277.83x = 104,324.42
  5. Step 5: Solve for x
    x = 104,324.42/277.83
  6. Step 6: Final answer
    x = 375.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.