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Finding the Fourth Proportional to 657.43, 986.04 and 310.75

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Solution

The fourth proportional to 657.43, 986.04 and 310.75 is: 466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.43 : 986.04 = 310.75 : x
  2. Step 2: Convert to fraction form
    657.43/986.04 = 310.75/x
  3. Step 3: Cross multiply
    657.43x = 986.04 × 310.75
  4. Step 4: Simplify right side
    657.43x = 306,411.93
  5. Step 5: Solve for x
    x = 306,411.93/657.43
  6. Step 6: Final answer
    x = 466.08

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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.