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Finding the Fourth Proportional to 683.84, 943.65 and 421.86

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Solution

The fourth proportional to 683.84, 943.65 and 421.86 is: 582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.84 : 943.65 = 421.86 : x
  2. Step 2: Convert to fraction form
    683.84/943.65 = 421.86/x
  3. Step 3: Cross multiply
    683.84x = 943.65 × 421.86
  4. Step 4: Simplify right side
    683.84x = 398,088.19
  5. Step 5: Solve for x
    x = 398,088.19/683.84
  6. Step 6: Final answer
    x = 582.14

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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.