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Finding the Fourth Proportional to 613.63, 919.83 and 288.41

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Solution

The fourth proportional to 613.63, 919.83 and 288.41 is: 432.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.63 : 919.83 = 288.41 : x
  2. Step 2: Convert to fraction form
    613.63/919.83 = 288.41/x
  3. Step 3: Cross multiply
    613.63x = 919.83 × 288.41
  4. Step 4: Simplify right side
    613.63x = 265,288.17
  5. Step 5: Solve for x
    x = 265,288.17/613.63
  6. Step 6: Final answer
    x = 432.33

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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.