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Finding the Fourth Proportional to 465.23, 642.14 and 268.86

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Solution

The fourth proportional to 465.23, 642.14 and 268.86 is: 371.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.23 : 642.14 = 268.86 : x
  2. Step 2: Convert to fraction form
    465.23/642.14 = 268.86/x
  3. Step 3: Cross multiply
    465.23x = 642.14 × 268.86
  4. Step 4: Simplify right side
    465.23x = 172,646.43
  5. Step 5: Solve for x
    x = 172,646.43/465.23
  6. Step 6: Final answer
    x = 371.10

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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.