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Finding the Fourth Proportional to 465.14, 641.88 and 258.14

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Solution

The fourth proportional to 465.14, 641.88 and 258.14 is: 356.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.14 : 641.88 = 258.14 : x
  2. Step 2: Convert to fraction form
    465.14/641.88 = 258.14/x
  3. Step 3: Cross multiply
    465.14x = 641.88 × 258.14
  4. Step 4: Simplify right side
    465.14x = 165,694.90
  5. Step 5: Solve for x
    x = 165,694.90/465.14
  6. Step 6: Final answer
    x = 356.23

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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.