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Finding the Fourth Proportional to 277.28, 416.16 and 216.32

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Solution

The fourth proportional to 277.28, 416.16 and 216.32 is: 324.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.28 : 416.16 = 216.32 : x
  2. Step 2: Convert to fraction form
    277.28/416.16 = 216.32/x
  3. Step 3: Cross multiply
    277.28x = 416.16 × 216.32
  4. Step 4: Simplify right side
    277.28x = 90,023.73
  5. Step 5: Solve for x
    x = 90,023.73/277.28
  6. Step 6: Final answer
    x = 324.67

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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.