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Finding the Fourth Proportional to 496.77, 685.43 and 297.67

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Solution

The fourth proportional to 496.77, 685.43 and 297.67 is: 410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.77 : 685.43 = 297.67 : x
  2. Step 2: Convert to fraction form
    496.77/685.43 = 297.67/x
  3. Step 3: Cross multiply
    496.77x = 685.43 × 297.67
  4. Step 4: Simplify right side
    496.77x = 204,031.95
  5. Step 5: Solve for x
    x = 204,031.95/496.77
  6. Step 6: Final answer
    x = 410.72

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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.