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Finding the Fourth Proportional to 683.57, 943.45 and 459.41

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Solution

The fourth proportional to 683.57, 943.45 and 459.41 is: 634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.57 : 943.45 = 459.41 : x
  2. Step 2: Convert to fraction form
    683.57/943.45 = 459.41/x
  3. Step 3: Cross multiply
    683.57x = 943.45 × 459.41
  4. Step 4: Simplify right side
    683.57x = 433,424.50
  5. Step 5: Solve for x
    x = 433,424.50/683.57
  6. Step 6: Final answer
    x = 634.06

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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.