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Finding the Fourth Proportional to 442.84, 663.64 and 280.04

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Solution

The fourth proportional to 442.84, 663.64 and 280.04 is: 419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.84 : 663.64 = 280.04 : x
  2. Step 2: Convert to fraction form
    442.84/663.64 = 280.04/x
  3. Step 3: Cross multiply
    442.84x = 663.64 × 280.04
  4. Step 4: Simplify right side
    442.84x = 185,845.75
  5. Step 5: Solve for x
    x = 185,845.75/442.84
  6. Step 6: Final answer
    x = 419.67

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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.