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Finding the Fourth Proportional to 465.17, 641.91 and 317.84

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Solution

The fourth proportional to 465.17, 641.91 and 317.84 is: 438.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.17 : 641.91 = 317.84 : x
  2. Step 2: Convert to fraction form
    465.17/641.91 = 317.84/x
  3. Step 3: Cross multiply
    465.17x = 641.91 × 317.84
  4. Step 4: Simplify right side
    465.17x = 204,027.47
  5. Step 5: Solve for x
    x = 204,027.47/465.17
  6. Step 6: Final answer
    x = 438.61

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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.