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Finding the Fourth Proportional to 656.35, 984.87 and 245.77

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Solution

The fourth proportional to 656.35, 984.87 and 245.77 is: 368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.35 : 984.87 = 245.77 : x
  2. Step 2: Convert to fraction form
    656.35/984.87 = 245.77/x
  3. Step 3: Cross multiply
    656.35x = 984.87 × 245.77
  4. Step 4: Simplify right side
    656.35x = 242,049.04
  5. Step 5: Solve for x
    x = 242,049.04/656.35
  6. Step 6: Final answer
    x = 368.78

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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.