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Finding the Fourth Proportional to 657.39, 985.32 and 310.81

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Solution

The fourth proportional to 657.39, 985.32 and 310.81 is: 465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.39 : 985.32 = 310.81 : x
  2. Step 2: Convert to fraction form
    657.39/985.32 = 310.81/x
  3. Step 3: Cross multiply
    657.39x = 985.32 × 310.81
  4. Step 4: Simplify right side
    657.39x = 306,247.31
  5. Step 5: Solve for x
    x = 306,247.31/657.39
  6. Step 6: Final answer
    x = 465.85

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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.