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Finding the Fourth Proportional to 280.24, 419.63 and 272.02

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Solution

The fourth proportional to 280.24, 419.63 and 272.02 is: 407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.24 : 419.63 = 272.02 : x
  2. Step 2: Convert to fraction form
    280.24/419.63 = 272.02/x
  3. Step 3: Cross multiply
    280.24x = 419.63 × 272.02
  4. Step 4: Simplify right side
    280.24x = 114,147.75
  5. Step 5: Solve for x
    x = 114,147.75/280.24
  6. Step 6: Final answer
    x = 407.32

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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.