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Finding the Fourth Proportional to 309.42, 462.24 and 236.52

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Solution

The fourth proportional to 309.42, 462.24 and 236.52 is: 353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.42 : 462.24 = 236.52 : x
  2. Step 2: Convert to fraction form
    309.42/462.24 = 236.52/x
  3. Step 3: Cross multiply
    309.42x = 462.24 × 236.52
  4. Step 4: Simplify right side
    309.42x = 109,329.00
  5. Step 5: Solve for x
    x = 109,329.00/309.42
  6. Step 6: Final answer
    x = 353.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.