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Finding the Fourth Proportional to 589.96, 878.65 and 573.81

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Solution

The fourth proportional to 589.96, 878.65 and 573.81 is: 854.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.96 : 878.65 = 573.81 : x
  2. Step 2: Convert to fraction form
    589.96/878.65 = 573.81/x
  3. Step 3: Cross multiply
    589.96x = 878.65 × 573.81
  4. Step 4: Simplify right side
    589.96x = 504,178.16
  5. Step 5: Solve for x
    x = 504,178.16/589.96
  6. Step 6: Final answer
    x = 854.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.