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Finding the Fourth Proportional to 280.02, 420.24 and 269.10

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Solution

The fourth proportional to 280.02, 420.24 and 269.10 is: 403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.02 : 420.24 = 269.10 : x
  2. Step 2: Convert to fraction form
    280.02/420.24 = 269.10/x
  3. Step 3: Cross multiply
    280.02x = 420.24 × 269.10
  4. Step 4: Simplify right side
    280.02x = 113,086.58
  5. Step 5: Solve for x
    x = 113,086.58/280.02
  6. Step 6: Final answer
    x = 403.85

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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.