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Finding the Fourth Proportional to 383.84, 574.80 and 280.40

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Solution

The fourth proportional to 383.84, 574.80 and 280.40 is: 419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.84 : 574.80 = 280.40 : x
  2. Step 2: Convert to fraction form
    383.84/574.80 = 280.40/x
  3. Step 3: Cross multiply
    383.84x = 574.80 × 280.40
  4. Step 4: Simplify right side
    383.84x = 161,173.92
  5. Step 5: Solve for x
    x = 161,173.92/383.84
  6. Step 6: Final answer
    x = 419.90

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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.