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Finding the Fourth Proportional to 465.06, 641.79 and 258.06

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Solution

The fourth proportional to 465.06, 641.79 and 258.06 is: 356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.06 : 641.79 = 258.06 : x
  2. Step 2: Convert to fraction form
    465.06/641.79 = 258.06/x
  3. Step 3: Cross multiply
    465.06x = 641.79 × 258.06
  4. Step 4: Simplify right side
    465.06x = 165,620.33
  5. Step 5: Solve for x
    x = 165,620.33/465.06
  6. Step 6: Final answer
    x = 356.13

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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.