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Finding the Fourth Proportional to 425.16, 636.84 and 280.44

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Solution

The fourth proportional to 425.16, 636.84 and 280.44 is: 420.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.16 : 636.84 = 280.44 : x
  2. Step 2: Convert to fraction form
    425.16/636.84 = 280.44/x
  3. Step 3: Cross multiply
    425.16x = 636.84 × 280.44
  4. Step 4: Simplify right side
    425.16x = 178,595.41
  5. Step 5: Solve for x
    x = 178,595.41/425.16
  6. Step 6: Final answer
    x = 420.07

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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.