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Finding the Fourth Proportional to 332.00, 458.36 and 227.25

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Solution

The fourth proportional to 332.00, 458.36 and 227.25 is: 313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.00 : 458.36 = 227.25 : x
  2. Step 2: Convert to fraction form
    332.00/458.36 = 227.25/x
  3. Step 3: Cross multiply
    332.00x = 458.36 × 227.25
  4. Step 4: Simplify right side
    332.00x = 104,161.17
  5. Step 5: Solve for x
    x = 104,161.17/332.00
  6. Step 6: Final answer
    x = 313.74

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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.