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Finding the Fourth Proportional to 332.05, 458.08 and 233.87

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Solution

The fourth proportional to 332.05, 458.08 and 233.87 is: 322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.05 : 458.08 = 233.87 : x
  2. Step 2: Convert to fraction form
    332.05/458.08 = 233.87/x
  3. Step 3: Cross multiply
    332.05x = 458.08 × 233.87
  4. Step 4: Simplify right side
    332.05x = 107,127.71
  5. Step 5: Solve for x
    x = 107,127.71/332.05
  6. Step 6: Final answer
    x = 322.63

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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.