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Finding the Fourth Proportional to 496.66, 685.59 and 362.27

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Solution

The fourth proportional to 496.66, 685.59 and 362.27 is: 500.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.66 : 685.59 = 362.27 : x
  2. Step 2: Convert to fraction form
    496.66/685.59 = 362.27/x
  3. Step 3: Cross multiply
    496.66x = 685.59 × 362.27
  4. Step 4: Simplify right side
    496.66x = 248,363.45
  5. Step 5: Solve for x
    x = 248,363.45/496.66
  6. Step 6: Final answer
    x = 500.07

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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.