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Finding the Fourth Proportional to 465.35, 642.08 and 268.83

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Solution

The fourth proportional to 465.35, 642.08 and 268.83 is: 370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.35 : 642.08 = 268.83 : x
  2. Step 2: Convert to fraction form
    465.35/642.08 = 268.83/x
  3. Step 3: Cross multiply
    465.35x = 642.08 × 268.83
  4. Step 4: Simplify right side
    465.35x = 172,610.37
  5. Step 5: Solve for x
    x = 172,610.37/465.35
  6. Step 6: Final answer
    x = 370.93

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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.