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Finding the Fourth Proportional to 684.45, 944.57 and 404.84

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Solution

The fourth proportional to 684.45, 944.57 and 404.84 is: 558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.45 : 944.57 = 404.84 : x
  2. Step 2: Convert to fraction form
    684.45/944.57 = 404.84/x
  3. Step 3: Cross multiply
    684.45x = 944.57 × 404.84
  4. Step 4: Simplify right side
    684.45x = 382,403.09
  5. Step 5: Solve for x
    x = 382,403.09/684.45
  6. Step 6: Final answer
    x = 558.70

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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.