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Finding the Fourth Proportional to 424.94, 636.69 and 408.94

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Solution

The fourth proportional to 424.94, 636.69 and 408.94 is: 612.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.94 : 636.69 = 408.94 : x
  2. Step 2: Convert to fraction form
    424.94/636.69 = 408.94/x
  3. Step 3: Cross multiply
    424.94x = 636.69 × 408.94
  4. Step 4: Simplify right side
    424.94x = 260,366.42
  5. Step 5: Solve for x
    x = 260,366.42/424.94
  6. Step 6: Final answer
    x = 612.72

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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.