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Finding the Fourth Proportional to 465.98, 643.06 and 269.50

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Solution

The fourth proportional to 465.98, 643.06 and 269.50 is: 371.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.98 : 643.06 = 269.50 : x
  2. Step 2: Convert to fraction form
    465.98/643.06 = 269.50/x
  3. Step 3: Cross multiply
    465.98x = 643.06 × 269.50
  4. Step 4: Simplify right side
    465.98x = 173,305.47
  5. Step 5: Solve for x
    x = 173,305.47/465.98
  6. Step 6: Final answer
    x = 371.92

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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.