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Finding the Fourth Proportional to 656.99, 985.85 and 246.41

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Solution

The fourth proportional to 656.99, 985.85 and 246.41 is: 369.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.99 : 985.85 = 246.41 : x
  2. Step 2: Convert to fraction form
    656.99/985.85 = 246.41/x
  3. Step 3: Cross multiply
    656.99x = 985.85 × 246.41
  4. Step 4: Simplify right side
    656.99x = 242,917.14
  5. Step 5: Solve for x
    x = 242,917.14/656.99
  6. Step 6: Final answer
    x = 369.75

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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.