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Finding the Fourth Proportional to 657.68, 985.10 and 310.49

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Solution

The fourth proportional to 657.68, 985.10 and 310.49 is: 465.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.68 : 985.10 = 310.49 : x
  2. Step 2: Convert to fraction form
    657.68/985.10 = 310.49/x
  3. Step 3: Cross multiply
    657.68x = 985.10 × 310.49
  4. Step 4: Simplify right side
    657.68x = 305,863.70
  5. Step 5: Solve for x
    x = 305,863.70/657.68
  6. Step 6: Final answer
    x = 465.06

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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.