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Finding the Fourth Proportional to 589.28, 811.82 and 500.78

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Solution

The fourth proportional to 589.28, 811.82 and 500.78 is: 689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.28 : 811.82 = 500.78 : x
  2. Step 2: Convert to fraction form
    589.28/811.82 = 500.78/x
  3. Step 3: Cross multiply
    589.28x = 811.82 × 500.78
  4. Step 4: Simplify right side
    589.28x = 406,546.50
  5. Step 5: Solve for x
    x = 406,546.50/589.28
  6. Step 6: Final answer
    x = 689.91

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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.