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Finding the Fourth Proportional to 277.76, 416.32 and 244.76

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Solution

The fourth proportional to 277.76, 416.32 and 244.76 is: 366.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.76 : 416.32 = 244.76 : x
  2. Step 2: Convert to fraction form
    277.76/416.32 = 244.76/x
  3. Step 3: Cross multiply
    277.76x = 416.32 × 244.76
  4. Step 4: Simplify right side
    277.76x = 101,898.48
  5. Step 5: Solve for x
    x = 101,898.48/277.76
  6. Step 6: Final answer
    x = 366.86

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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.