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Finding the Fourth Proportional to 465.41, 698.35 and 205.38

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Solution

The fourth proportional to 465.41, 698.35 and 205.38 is: 308.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.41 : 698.35 = 205.38 : x
  2. Step 2: Convert to fraction form
    465.41/698.35 = 205.38/x
  3. Step 3: Cross multiply
    465.41x = 698.35 × 205.38
  4. Step 4: Simplify right side
    465.41x = 143,426.10
  5. Step 5: Solve for x
    x = 143,426.10/465.41
  6. Step 6: Final answer
    x = 308.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.