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Finding the Fourth Proportional to 362.24, 499.66 and 251.74

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Solution

The fourth proportional to 362.24, 499.66 and 251.74 is: 347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.24 : 499.66 = 251.74 : x
  2. Step 2: Convert to fraction form
    362.24/499.66 = 251.74/x
  3. Step 3: Cross multiply
    362.24x = 499.66 × 251.74
  4. Step 4: Simplify right side
    362.24x = 125,784.41
  5. Step 5: Solve for x
    x = 125,784.41/362.24
  6. Step 6: Final answer
    x = 347.24

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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.