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Finding the Fourth Proportional to 465.67, 641.19 and 410.14

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Solution

The fourth proportional to 465.67, 641.19 and 410.14 is: 564.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.67 : 641.19 = 410.14 : x
  2. Step 2: Convert to fraction form
    465.67/641.19 = 410.14/x
  3. Step 3: Cross multiply
    465.67x = 641.19 × 410.14
  4. Step 4: Simplify right side
    465.67x = 262,977.67
  5. Step 5: Solve for x
    x = 262,977.67/465.67
  6. Step 6: Final answer
    x = 564.73

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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.