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Finding the Fourth Proportional to 277.92, 417.36 and 213.60

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Solution

The fourth proportional to 277.92, 417.36 and 213.60 is: 320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.92 : 417.36 = 213.60 : x
  2. Step 2: Convert to fraction form
    277.92/417.36 = 213.60/x
  3. Step 3: Cross multiply
    277.92x = 417.36 × 213.60
  4. Step 4: Simplify right side
    277.92x = 89,148.10
  5. Step 5: Solve for x
    x = 89,148.10/277.92
  6. Step 6: Final answer
    x = 320.77

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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.