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Finding the Fourth Proportional to 600.23, 899.52 and 453.86

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Solution

The fourth proportional to 600.23, 899.52 and 453.86 is: 680.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.23 : 899.52 = 453.86 : x
  2. Step 2: Convert to fraction form
    600.23/899.52 = 453.86/x
  3. Step 3: Cross multiply
    600.23x = 899.52 × 453.86
  4. Step 4: Simplify right side
    600.23x = 408,258.38
  5. Step 5: Solve for x
    x = 408,258.38/600.23
  6. Step 6: Final answer
    x = 680.17

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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.