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Finding the Fourth Proportional to 307.26, 460.53 and 224.82

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Solution

The fourth proportional to 307.26, 460.53 and 224.82 is: 336.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.26 : 460.53 = 224.82 : x
  2. Step 2: Convert to fraction form
    307.26/460.53 = 224.82/x
  3. Step 3: Cross multiply
    307.26x = 460.53 × 224.82
  4. Step 4: Simplify right side
    307.26x = 103,536.35
  5. Step 5: Solve for x
    x = 103,536.35/307.26
  6. Step 6: Final answer
    x = 336.97

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