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Finding the Fourth Proportional to 468.05, 645.75 and 271.46

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Solution

The fourth proportional to 468.05, 645.75 and 271.46 is: 374.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.05 : 645.75 = 271.46 : x
  2. Step 2: Convert to fraction form
    468.05/645.75 = 271.46/x
  3. Step 3: Cross multiply
    468.05x = 645.75 × 271.46
  4. Step 4: Simplify right side
    468.05x = 175,295.30
  5. Step 5: Solve for x
    x = 175,295.30/468.05
  6. Step 6: Final answer
    x = 374.52

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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.