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Finding the Fourth Proportional to 613.43, 919.23 and 483.74

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Solution

The fourth proportional to 613.43, 919.23 and 483.74 is: 724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.43 : 919.23 = 483.74 : x
  2. Step 2: Convert to fraction form
    613.43/919.23 = 483.74/x
  3. Step 3: Cross multiply
    613.43x = 919.23 × 483.74
  4. Step 4: Simplify right side
    613.43x = 444,668.32
  5. Step 5: Solve for x
    x = 444,668.32/613.43
  6. Step 6: Final answer
    x = 724.89

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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.