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Finding the Fourth Proportional to 280.69, 387.01 and 228.04

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Solution

The fourth proportional to 280.69, 387.01 and 228.04 is: 314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.69 : 387.01 = 228.04 : x
  2. Step 2: Convert to fraction form
    280.69/387.01 = 228.04/x
  3. Step 3: Cross multiply
    280.69x = 387.01 × 228.04
  4. Step 4: Simplify right side
    280.69x = 88,252.62
  5. Step 5: Solve for x
    x = 88,252.62/280.69
  6. Step 6: Final answer
    x = 314.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.