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Finding the Fourth Proportional to 283.84, 423.45 and 280.20

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Solution

The fourth proportional to 283.84, 423.45 and 280.20 is: 418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.84 : 423.45 = 280.20 : x
  2. Step 2: Convert to fraction form
    283.84/423.45 = 280.20/x
  3. Step 3: Cross multiply
    283.84x = 423.45 × 280.20
  4. Step 4: Simplify right side
    283.84x = 118,650.69
  5. Step 5: Solve for x
    x = 118,650.69/283.84
  6. Step 6: Final answer
    x = 418.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.