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Finding the Fourth Proportional to 683.37, 943.25 and 421.61

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Solution

The fourth proportional to 683.37, 943.25 and 421.61 is: 581.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.37 : 943.25 = 421.61 : x
  2. Step 2: Convert to fraction form
    683.37/943.25 = 421.61/x
  3. Step 3: Cross multiply
    683.37x = 943.25 × 421.61
  4. Step 4: Simplify right side
    683.37x = 397,676.81
  5. Step 5: Solve for x
    x = 397,676.81/683.37
  6. Step 6: Final answer
    x = 581.93

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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.