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Finding the Fourth Proportional to 465.58, 642.28 and 269.05

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Solution

The fourth proportional to 465.58, 642.28 and 269.05 is: 371.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.58 : 642.28 = 269.05 : x
  2. Step 2: Convert to fraction form
    465.58/642.28 = 269.05/x
  3. Step 3: Cross multiply
    465.58x = 642.28 × 269.05
  4. Step 4: Simplify right side
    465.58x = 172,805.43
  5. Step 5: Solve for x
    x = 172,805.43/465.58
  6. Step 6: Final answer
    x = 371.16

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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.