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Finding the Fourth Proportional to 277.84, 416.40 and 261.82

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Solution

The fourth proportional to 277.84, 416.40 and 261.82 is: 392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.84 : 416.40 = 261.82 : x
  2. Step 2: Convert to fraction form
    277.84/416.40 = 261.82/x
  3. Step 3: Cross multiply
    277.84x = 416.40 × 261.82
  4. Step 4: Simplify right side
    277.84x = 109,021.85
  5. Step 5: Solve for x
    x = 109,021.85/277.84
  6. Step 6: Final answer
    x = 392.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.