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Finding the Fourth Proportional to 683.64, 943.44 and 373.14

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Solution

The fourth proportional to 683.64, 943.44 and 373.14 is: 514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.64 : 943.44 = 373.14 : x
  2. Step 2: Convert to fraction form
    683.64/943.44 = 373.14/x
  3. Step 3: Cross multiply
    683.64x = 943.44 × 373.14
  4. Step 4: Simplify right side
    683.64x = 352,035.20
  5. Step 5: Solve for x
    x = 352,035.20/683.64
  6. Step 6: Final answer
    x = 514.94

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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.