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Finding the Fourth Proportional to 465.19, 642.02 and 268.72

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Solution

The fourth proportional to 465.19, 642.02 and 268.72 is: 370.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.19 : 642.02 = 268.72 : x
  2. Step 2: Convert to fraction form
    465.19/642.02 = 268.72/x
  3. Step 3: Cross multiply
    465.19x = 642.02 × 268.72
  4. Step 4: Simplify right side
    465.19x = 172,519.06
  5. Step 5: Solve for x
    x = 172,519.06/465.19
  6. Step 6: Final answer
    x = 370.86

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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.