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Finding the Fourth Proportional to 496.12, 745.22 and 313.63

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Solution

The fourth proportional to 496.12, 745.22 and 313.63 is: 471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.12 : 745.22 = 313.63 : x
  2. Step 2: Convert to fraction form
    496.12/745.22 = 313.63/x
  3. Step 3: Cross multiply
    496.12x = 745.22 × 313.63
  4. Step 4: Simplify right side
    496.12x = 233,723.35
  5. Step 5: Solve for x
    x = 233,723.35/496.12
  6. Step 6: Final answer
    x = 471.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.