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Finding the Fourth Proportional to 277.68, 417.60 and 261.36

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Solution

The fourth proportional to 277.68, 417.60 and 261.36 is: 393.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.68 : 417.60 = 261.36 : x
  2. Step 2: Convert to fraction form
    277.68/417.60 = 261.36/x
  3. Step 3: Cross multiply
    277.68x = 417.60 × 261.36
  4. Step 4: Simplify right side
    277.68x = 109,143.94
  5. Step 5: Solve for x
    x = 109,143.94/277.68
  6. Step 6: Final answer
    x = 393.06

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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.