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Finding the Fourth Proportional to 280.60, 419.94 and 216.60

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Solution

The fourth proportional to 280.60, 419.94 and 216.60 is: 324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.60 : 419.94 = 216.60 : x
  2. Step 2: Convert to fraction form
    280.60/419.94 = 216.60/x
  3. Step 3: Cross multiply
    280.60x = 419.94 × 216.60
  4. Step 4: Simplify right side
    280.60x = 90,959.00
  5. Step 5: Solve for x
    x = 90,959.00/280.60
  6. Step 6: Final answer
    x = 324.16

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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.