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Finding the Fourth Proportional to 465.16, 641.82 and 310.36

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Solution

The fourth proportional to 465.16, 641.82 and 310.36 is: 428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.16 : 641.82 = 310.36 : x
  2. Step 2: Convert to fraction form
    465.16/641.82 = 310.36/x
  3. Step 3: Cross multiply
    465.16x = 641.82 × 310.36
  4. Step 4: Simplify right side
    465.16x = 199,195.26
  5. Step 5: Solve for x
    x = 199,195.26/465.16
  6. Step 6: Final answer
    x = 428.23

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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.