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Finding the Fourth Proportional to 657.11, 984.61 and 309.62

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Solution

The fourth proportional to 657.11, 984.61 and 309.62 is: 463.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.11 : 984.61 = 309.62 : x
  2. Step 2: Convert to fraction form
    657.11/984.61 = 309.62/x
  3. Step 3: Cross multiply
    657.11x = 984.61 × 309.62
  4. Step 4: Simplify right side
    657.11x = 304,856.06
  5. Step 5: Solve for x
    x = 304,856.06/657.11
  6. Step 6: Final answer
    x = 463.93

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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.