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Finding the Fourth Proportional to 332.20, 457.86 and 233.64

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Solution

The fourth proportional to 332.20, 457.86 and 233.64 is: 322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.20 : 457.86 = 233.64 : x
  2. Step 2: Convert to fraction form
    332.20/457.86 = 233.64/x
  3. Step 3: Cross multiply
    332.20x = 457.86 × 233.64
  4. Step 4: Simplify right side
    332.20x = 106,974.41
  5. Step 5: Solve for x
    x = 106,974.41/332.20
  6. Step 6: Final answer
    x = 322.02

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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.