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Finding the Fourth Proportional to 333.74, 458.58 and 271.41

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Solution

The fourth proportional to 333.74, 458.58 and 271.41 is: 372.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.74 : 458.58 = 271.41 : x
  2. Step 2: Convert to fraction form
    333.74/458.58 = 271.41/x
  3. Step 3: Cross multiply
    333.74x = 458.58 × 271.41
  4. Step 4: Simplify right side
    333.74x = 124,463.20
  5. Step 5: Solve for x
    x = 124,463.20/333.74
  6. Step 6: Final answer
    x = 372.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.