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Finding the Fourth Proportional to 636.84, 878.46 and 404.10

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Solution

The fourth proportional to 636.84, 878.46 and 404.10 is: 557.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.84 : 878.46 = 404.10 : x
  2. Step 2: Convert to fraction form
    636.84/878.46 = 404.10/x
  3. Step 3: Cross multiply
    636.84x = 878.46 × 404.10
  4. Step 4: Simplify right side
    636.84x = 354,985.69
  5. Step 5: Solve for x
    x = 354,985.69/636.84
  6. Step 6: Final answer
    x = 557.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.