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Finding the Fourth Proportional to 589.18, 811.33 and 576.40

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Solution

The fourth proportional to 589.18, 811.33 and 576.40 is: 793.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.18 : 811.33 = 576.40 : x
  2. Step 2: Convert to fraction form
    589.18/811.33 = 576.40/x
  3. Step 3: Cross multiply
    589.18x = 811.33 × 576.40
  4. Step 4: Simplify right side
    589.18x = 467,650.61
  5. Step 5: Solve for x
    x = 467,650.61/589.18
  6. Step 6: Final answer
    x = 793.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.