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Finding the Fourth Proportional to 684.24, 944.23 and 404.49

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Solution

The fourth proportional to 684.24, 944.23 and 404.49 is: 558.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.24 : 944.23 = 404.49 : x
  2. Step 2: Convert to fraction form
    684.24/944.23 = 404.49/x
  3. Step 3: Cross multiply
    684.24x = 944.23 × 404.49
  4. Step 4: Simplify right side
    684.24x = 381,931.59
  5. Step 5: Solve for x
    x = 381,931.59/684.24
  6. Step 6: Final answer
    x = 558.18

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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.