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Finding the Fourth Proportional to 683.44, 943.12 and 417.84

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Solution

The fourth proportional to 683.44, 943.12 and 417.84 is: 576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.44 : 943.12 = 417.84 : x
  2. Step 2: Convert to fraction form
    683.44/943.12 = 417.84/x
  3. Step 3: Cross multiply
    683.44x = 943.12 × 417.84
  4. Step 4: Simplify right side
    683.44x = 394,073.26
  5. Step 5: Solve for x
    x = 394,073.26/683.44
  6. Step 6: Final answer
    x = 576.60

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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.