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Finding the Fourth Proportional to 656.50, 984.76 and 200.50

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Solution

The fourth proportional to 656.50, 984.76 and 200.50 is: 300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.50 : 984.76 = 200.50 : x
  2. Step 2: Convert to fraction form
    656.50/984.76 = 200.50/x
  3. Step 3: Cross multiply
    656.50x = 984.76 × 200.50
  4. Step 4: Simplify right side
    656.50x = 197,444.38
  5. Step 5: Solve for x
    x = 197,444.38/656.50
  6. Step 6: Final answer
    x = 300.75

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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.