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Finding the Fourth Proportional to 657.78, 986.12 and 310.94

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Solution

The fourth proportional to 657.78, 986.12 and 310.94 is: 466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.78 : 986.12 = 310.94 : x
  2. Step 2: Convert to fraction form
    657.78/986.12 = 310.94/x
  3. Step 3: Cross multiply
    657.78x = 986.12 × 310.94
  4. Step 4: Simplify right side
    657.78x = 306,624.15
  5. Step 5: Solve for x
    x = 306,624.15/657.78
  6. Step 6: Final answer
    x = 466.15

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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.