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Finding the Fourth Proportional to 332.42, 458.54 and 221.74

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Solution

The fourth proportional to 332.42, 458.54 and 221.74 is: 305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.42 : 458.54 = 221.74 : x
  2. Step 2: Convert to fraction form
    332.42/458.54 = 221.74/x
  3. Step 3: Cross multiply
    332.42x = 458.54 × 221.74
  4. Step 4: Simplify right side
    332.42x = 101,676.66
  5. Step 5: Solve for x
    x = 101,676.66/332.42
  6. Step 6: Final answer
    x = 305.87

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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.