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Finding the Fourth Proportional to 684.07, 944.03 and 404.62

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Solution

The fourth proportional to 684.07, 944.03 and 404.62 is: 558.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.07 : 944.03 = 404.62 : x
  2. Step 2: Convert to fraction form
    684.07/944.03 = 404.62/x
  3. Step 3: Cross multiply
    684.07x = 944.03 × 404.62
  4. Step 4: Simplify right side
    684.07x = 381,972.07
  5. Step 5: Solve for x
    x = 381,972.07/684.07
  6. Step 6: Final answer
    x = 558.38

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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.