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Finding the Fourth Proportional to 280.40, 419.82 and 228.03

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Solution

The fourth proportional to 280.40, 419.82 and 228.03 is: 341.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.40 : 419.82 = 228.03 : x
  2. Step 2: Convert to fraction form
    280.40/419.82 = 228.03/x
  3. Step 3: Cross multiply
    280.40x = 419.82 × 228.03
  4. Step 4: Simplify right side
    280.40x = 95,729.13
  5. Step 5: Solve for x
    x = 95,729.13/280.40
  6. Step 6: Final answer
    x = 341.41

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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.