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Finding the Fourth Proportional to 481.17, 663.68 and 465.10

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Solution

The fourth proportional to 481.17, 663.68 and 465.10 is: 641.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.17 : 663.68 = 465.10 : x
  2. Step 2: Convert to fraction form
    481.17/663.68 = 465.10/x
  3. Step 3: Cross multiply
    481.17x = 663.68 × 465.10
  4. Step 4: Simplify right side
    481.17x = 308,673.58
  5. Step 5: Solve for x
    x = 308,673.58/481.17
  6. Step 6: Final answer
    x = 641.51

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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.