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Finding the Fourth Proportional to 683.67, 943.04 and 417.99

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Solution

The fourth proportional to 683.67, 943.04 and 417.99 is: 576.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.67 : 943.04 = 417.99 : x
  2. Step 2: Convert to fraction form
    683.67/943.04 = 417.99/x
  3. Step 3: Cross multiply
    683.67x = 943.04 × 417.99
  4. Step 4: Simplify right side
    683.67x = 394,179.20
  5. Step 5: Solve for x
    x = 394,179.20/683.67
  6. Step 6: Final answer
    x = 576.56

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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.