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Finding the Fourth Proportional to 465.63, 642.51 and 269.12

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Solution

The fourth proportional to 465.63, 642.51 and 269.12 is: 371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.63 : 642.51 = 269.12 : x
  2. Step 2: Convert to fraction form
    465.63/642.51 = 269.12/x
  3. Step 3: Cross multiply
    465.63x = 642.51 × 269.12
  4. Step 4: Simplify right side
    465.63x = 172,909.08
  5. Step 5: Solve for x
    x = 172,909.08/465.63
  6. Step 6: Final answer
    x = 371.34

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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.