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Finding the Fourth Proportional to 496.06, 683.76 and 377.64

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Solution

The fourth proportional to 496.06, 683.76 and 377.64 is: 520.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.06 : 683.76 = 377.64 : x
  2. Step 2: Convert to fraction form
    496.06/683.76 = 377.64/x
  3. Step 3: Cross multiply
    496.06x = 683.76 × 377.64
  4. Step 4: Simplify right side
    496.06x = 258,215.13
  5. Step 5: Solve for x
    x = 258,215.13/496.06
  6. Step 6: Final answer
    x = 520.53

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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.