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Finding the Fourth Proportional to 684.32, 944.44 and 404.66

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Solution

The fourth proportional to 684.32, 944.44 and 404.66 is: 558.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.32 : 944.44 = 404.66 : x
  2. Step 2: Convert to fraction form
    684.32/944.44 = 404.66/x
  3. Step 3: Cross multiply
    684.32x = 944.44 × 404.66
  4. Step 4: Simplify right side
    684.32x = 382,177.09
  5. Step 5: Solve for x
    x = 382,177.09/684.32
  6. Step 6: Final answer
    x = 558.48

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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.