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Finding the Fourth Proportional to 332.87, 459.42 and 233.24

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Solution

The fourth proportional to 332.87, 459.42 and 233.24 is: 321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.87 : 459.42 = 233.24 : x
  2. Step 2: Convert to fraction form
    332.87/459.42 = 233.24/x
  3. Step 3: Cross multiply
    332.87x = 459.42 × 233.24
  4. Step 4: Simplify right side
    332.87x = 107,153.26
  5. Step 5: Solve for x
    x = 107,153.26/332.87
  6. Step 6: Final answer
    x = 321.91

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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.