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Finding the Fourth Proportional to 600.32, 823.04 and 589.39

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Solution

The fourth proportional to 600.32, 823.04 and 589.39 is: 808.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.32 : 823.04 = 589.39 : x
  2. Step 2: Convert to fraction form
    600.32/823.04 = 589.39/x
  3. Step 3: Cross multiply
    600.32x = 823.04 × 589.39
  4. Step 4: Simplify right side
    600.32x = 485,085.96
  5. Step 5: Solve for x
    x = 485,085.96/600.32
  6. Step 6: Final answer
    x = 808.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.