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Finding the Fourth Proportional to 589.74, 814.31 and 563.30

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Solution

The fourth proportional to 589.74, 814.31 and 563.30 is: 777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.74 : 814.31 = 563.30 : x
  2. Step 2: Convert to fraction form
    589.74/814.31 = 563.30/x
  3. Step 3: Cross multiply
    589.74x = 814.31 × 563.30
  4. Step 4: Simplify right side
    589.74x = 458,700.82
  5. Step 5: Solve for x
    x = 458,700.82/589.74
  6. Step 6: Final answer
    x = 777.80

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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.