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Finding the Fourth Proportional to 465.05, 641.71 and 265.88

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Solution

The fourth proportional to 465.05, 641.71 and 265.88 is: 366.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.05 : 641.71 = 265.88 : x
  2. Step 2: Convert to fraction form
    465.05/641.71 = 265.88/x
  3. Step 3: Cross multiply
    465.05x = 641.71 × 265.88
  4. Step 4: Simplify right side
    465.05x = 170,617.85
  5. Step 5: Solve for x
    x = 170,617.85/465.05
  6. Step 6: Final answer
    x = 366.88

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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.