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Finding the Fourth Proportional to 683.52, 942.84 and 450.96

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Solution

The fourth proportional to 683.52, 942.84 and 450.96 is: 622.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.52 : 942.84 = 450.96 : x
  2. Step 2: Convert to fraction form
    683.52/942.84 = 450.96/x
  3. Step 3: Cross multiply
    683.52x = 942.84 × 450.96
  4. Step 4: Simplify right side
    683.52x = 425,183.13
  5. Step 5: Solve for x
    x = 425,183.13/683.52
  6. Step 6: Final answer
    x = 622.05

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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.