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Finding the Fourth Proportional to 684, 943.88 and 404.24

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Solution

The fourth proportional to 684, 943.88 and 404.24 is: 557.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    684 : 943.88 = 404.24 : x
  2. Step 2: Convert to fraction form
    684/943.88 = 404.24/x
  3. Step 3: Cross multiply
    684x = 943.88 × 404.24
  4. Step 4: Simplify right side
    684x = 381,554.05
  5. Step 5: Solve for x
    x = 381,554.05/684
  6. Step 6: Final answer
    x = 557.83

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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.