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Finding the Fourth Proportional to 465.83, 642.84 and 269.34

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Solution

The fourth proportional to 465.83, 642.84 and 269.34 is: 371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.83 : 642.84 = 269.34 : x
  2. Step 2: Convert to fraction form
    465.83/642.84 = 269.34/x
  3. Step 3: Cross multiply
    465.83x = 642.84 × 269.34
  4. Step 4: Simplify right side
    465.83x = 173,139.10
  5. Step 5: Solve for x
    x = 173,139.10/465.83
  6. Step 6: Final answer
    x = 371.68

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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.