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Finding the Fourth Proportional to 589.20, 811.24 and 500.49

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Solution

The fourth proportional to 589.20, 811.24 and 500.49 is: 689.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.20 : 811.24 = 500.49 : x
  2. Step 2: Convert to fraction form
    589.20/811.24 = 500.49/x
  3. Step 3: Cross multiply
    589.20x = 811.24 × 500.49
  4. Step 4: Simplify right side
    589.20x = 406,016.26
  5. Step 5: Solve for x
    x = 406,016.26/589.20
  6. Step 6: Final answer
    x = 689.10

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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.