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Finding the Fourth Proportional to 683.54, 943.08 and 421.46

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Solution

The fourth proportional to 683.54, 943.08 and 421.46 is: 581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.54 : 943.08 = 421.46 : x
  2. Step 2: Convert to fraction form
    683.54/943.08 = 421.46/x
  3. Step 3: Cross multiply
    683.54x = 943.08 × 421.46
  4. Step 4: Simplify right side
    683.54x = 397,470.50
  5. Step 5: Solve for x
    x = 397,470.50/683.54
  6. Step 6: Final answer
    x = 581.49

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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.