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Finding the Fourth Proportional to 684.23, 944.24 and 404.48

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Solution

The fourth proportional to 684.23, 944.24 and 404.48 is: 558.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.23 : 944.24 = 404.48 : x
  2. Step 2: Convert to fraction form
    684.23/944.24 = 404.48/x
  3. Step 3: Cross multiply
    684.23x = 944.24 × 404.48
  4. Step 4: Simplify right side
    684.23x = 381,919.45
  5. Step 5: Solve for x
    x = 381,919.45/684.23
  6. Step 6: Final answer
    x = 558.18

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1.5x scale

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.