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Finding the Fourth Proportional to 332.57, 459.07 and 239.37

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Solution

The fourth proportional to 332.57, 459.07 and 239.37 is: 330.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.57 : 459.07 = 239.37 : x
  2. Step 2: Convert to fraction form
    332.57/459.07 = 239.37/x
  3. Step 3: Cross multiply
    332.57x = 459.07 × 239.37
  4. Step 4: Simplify right side
    332.57x = 109,886.39
  5. Step 5: Solve for x
    x = 109,886.39/332.57
  6. Step 6: Final answer
    x = 330.42

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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.