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Finding the Fourth Proportional to 657.29, 985.71 and 310.29

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Solution

The fourth proportional to 657.29, 985.71 and 310.29 is: 465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.29 : 985.71 = 310.29 : x
  2. Step 2: Convert to fraction form
    657.29/985.71 = 310.29/x
  3. Step 3: Cross multiply
    657.29x = 985.71 × 310.29
  4. Step 4: Simplify right side
    657.29x = 305,855.96
  5. Step 5: Solve for x
    x = 305,855.96/657.29
  6. Step 6: Final answer
    x = 465.33

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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.