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Finding the Fourth Proportional to 600.92, 899.75 and 470.23

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Solution

The fourth proportional to 600.92, 899.75 and 470.23 is: 704.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.92 : 899.75 = 470.23 : x
  2. Step 2: Convert to fraction form
    600.92/899.75 = 470.23/x
  3. Step 3: Cross multiply
    600.92x = 899.75 × 470.23
  4. Step 4: Simplify right side
    600.92x = 423,089.44
  5. Step 5: Solve for x
    x = 423,089.44/600.92
  6. Step 6: Final answer
    x = 704.07

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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.