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Finding the Fourth Proportional to 332.10, 458.16 and 233.82

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Solution

The fourth proportional to 332.10, 458.16 and 233.82 is: 322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.10 : 458.16 = 233.82 : x
  2. Step 2: Convert to fraction form
    332.10/458.16 = 233.82/x
  3. Step 3: Cross multiply
    332.10x = 458.16 × 233.82
  4. Step 4: Simplify right side
    332.10x = 107,126.97
  5. Step 5: Solve for x
    x = 107,126.97/332.10
  6. Step 6: Final answer
    x = 322.57

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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.