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Finding the Fourth Proportional to 600.48, 894.26 and 584.96

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Solution

The fourth proportional to 600.48, 894.26 and 584.96 is: 871.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.48 : 894.26 = 584.96 : x
  2. Step 2: Convert to fraction form
    600.48/894.26 = 584.96/x
  3. Step 3: Cross multiply
    600.48x = 894.26 × 584.96
  4. Step 4: Simplify right side
    600.48x = 523,106.33
  5. Step 5: Solve for x
    x = 523,106.33/600.48
  6. Step 6: Final answer
    x = 871.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.