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Finding the Fourth Proportional to 465.06, 641.84 and 268.59

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Solution

The fourth proportional to 465.06, 641.84 and 268.59 is: 370.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.06 : 641.84 = 268.59 : x
  2. Step 2: Convert to fraction form
    465.06/641.84 = 268.59/x
  3. Step 3: Cross multiply
    465.06x = 641.84 × 268.59
  4. Step 4: Simplify right side
    465.06x = 172,391.81
  5. Step 5: Solve for x
    x = 172,391.81/465.06
  6. Step 6: Final answer
    x = 370.69

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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.