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Finding the Fourth Proportional to 611.64, 917.49 and 200.90

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Solution

The fourth proportional to 611.64, 917.49 and 200.90 is: 301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.64 : 917.49 = 200.90 : x
  2. Step 2: Convert to fraction form
    611.64/917.49 = 200.90/x
  3. Step 3: Cross multiply
    611.64x = 917.49 × 200.90
  4. Step 4: Simplify right side
    611.64x = 184,319.15
  5. Step 5: Solve for x
    x = 184,319.15/611.64
  6. Step 6: Final answer
    x = 301.35

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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.