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Finding the Fourth Proportional to 307.72, 460.62 and 235.48

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Solution

The fourth proportional to 307.72, 460.62 and 235.48 is: 352.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.72 : 460.62 = 235.48 : x
  2. Step 2: Convert to fraction form
    307.72/460.62 = 235.48/x
  3. Step 3: Cross multiply
    307.72x = 460.62 × 235.48
  4. Step 4: Simplify right side
    307.72x = 108,466.80
  5. Step 5: Solve for x
    x = 108,466.80/307.72
  6. Step 6: Final answer
    x = 352.49

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Why These Related Problems?

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