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Finding the Fourth Proportional to 613.13, 919.83 and 228.38

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Solution

The fourth proportional to 613.13, 919.83 and 228.38 is: 342.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.13 : 919.83 = 228.38 : x
  2. Step 2: Convert to fraction form
    613.13/919.83 = 228.38/x
  3. Step 3: Cross multiply
    613.13x = 919.83 × 228.38
  4. Step 4: Simplify right side
    613.13x = 210,066.18
  5. Step 5: Solve for x
    x = 210,066.18/613.13
  6. Step 6: Final answer
    x = 342.62

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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.