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Finding the Fourth Proportional to 596.32, 899.81 and 573.82

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Solution

The fourth proportional to 596.32, 899.81 and 573.82 is: 865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.32 : 899.81 = 573.82 : x
  2. Step 2: Convert to fraction form
    596.32/899.81 = 573.82/x
  3. Step 3: Cross multiply
    596.32x = 899.81 × 573.82
  4. Step 4: Simplify right side
    596.32x = 516,328.97
  5. Step 5: Solve for x
    x = 516,328.97/596.32
  6. Step 6: Final answer
    x = 865.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.