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Finding the Fourth Proportional to 589.81, 814.02 and 424.57

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Solution

The fourth proportional to 589.81, 814.02 and 424.57 is: 585.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.81 : 814.02 = 424.57 : x
  2. Step 2: Convert to fraction form
    589.81/814.02 = 424.57/x
  3. Step 3: Cross multiply
    589.81x = 814.02 × 424.57
  4. Step 4: Simplify right side
    589.81x = 345,608.47
  5. Step 5: Solve for x
    x = 345,608.47/589.81
  6. Step 6: Final answer
    x = 585.97

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