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Finding the Fourth Proportional to 494.96, 683.56 and 402.64

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Solution

The fourth proportional to 494.96, 683.56 and 402.64 is: 556.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.96 : 683.56 = 402.64 : x
  2. Step 2: Convert to fraction form
    494.96/683.56 = 402.64/x
  3. Step 3: Cross multiply
    494.96x = 683.56 × 402.64
  4. Step 4: Simplify right side
    494.96x = 275,228.60
  5. Step 5: Solve for x
    x = 275,228.60/494.96
  6. Step 6: Final answer
    x = 556.06

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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.