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Finding the Fourth Proportional to 657.63, 986.62 and 246.80

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Solution

The fourth proportional to 657.63, 986.62 and 246.80 is: 370.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.63 : 986.62 = 246.80 : x
  2. Step 2: Convert to fraction form
    657.63/986.62 = 246.80/x
  3. Step 3: Cross multiply
    657.63x = 986.62 × 246.80
  4. Step 4: Simplify right side
    657.63x = 243,494.23
  5. Step 5: Solve for x
    x = 243,494.23/657.63
  6. Step 6: Final answer
    x = 370.26

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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.