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Finding the Fourth Proportional to 496.01, 683.74 and 408.53

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Solution

The fourth proportional to 496.01, 683.74 and 408.53 is: 563.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.01 : 683.74 = 408.53 : x
  2. Step 2: Convert to fraction form
    496.01/683.74 = 408.53/x
  3. Step 3: Cross multiply
    496.01x = 683.74 × 408.53
  4. Step 4: Simplify right side
    496.01x = 279,328.30
  5. Step 5: Solve for x
    x = 279,328.30/496.01
  6. Step 6: Final answer
    x = 563.15

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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.