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Finding the Fourth Proportional to 683.59, 943.08 and 421.15

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Solution

The fourth proportional to 683.59, 943.08 and 421.15 is: 581.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.59 : 943.08 = 421.15 : x
  2. Step 2: Convert to fraction form
    683.59/943.08 = 421.15/x
  3. Step 3: Cross multiply
    683.59x = 943.08 × 421.15
  4. Step 4: Simplify right side
    683.59x = 397,178.14
  5. Step 5: Solve for x
    x = 397,178.14/683.59
  6. Step 6: Final answer
    x = 581.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.