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Finding the Fourth Proportional to 362.26, 499.76 and 237.76

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Solution

The fourth proportional to 362.26, 499.76 and 237.76 is: 328.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.26 : 499.76 = 237.76 : x
  2. Step 2: Convert to fraction form
    362.26/499.76 = 237.76/x
  3. Step 3: Cross multiply
    362.26x = 499.76 × 237.76
  4. Step 4: Simplify right side
    362.26x = 118,819.25
  5. Step 5: Solve for x
    x = 118,819.25/362.26
  6. Step 6: Final answer
    x = 328.00

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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.