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Finding the Fourth Proportional to 589.29, 811.84 and 490.87

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Solution

The fourth proportional to 589.29, 811.84 and 490.87 is: 676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.29 : 811.84 = 490.87 : x
  2. Step 2: Convert to fraction form
    589.29/811.84 = 490.87/x
  3. Step 3: Cross multiply
    589.29x = 811.84 × 490.87
  4. Step 4: Simplify right side
    589.29x = 398,507.90
  5. Step 5: Solve for x
    x = 398,507.90/589.29
  6. Step 6: Final answer
    x = 676.25

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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.