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Finding the Fourth Proportional to 575.92, 863.74 and 393.26

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Solution

The fourth proportional to 575.92, 863.74 and 393.26 is: 589.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.92 : 863.74 = 393.26 : x
  2. Step 2: Convert to fraction form
    575.92/863.74 = 393.26/x
  3. Step 3: Cross multiply
    575.92x = 863.74 × 393.26
  4. Step 4: Simplify right side
    575.92x = 339,674.32
  5. Step 5: Solve for x
    x = 339,674.32/575.92
  6. Step 6: Final answer
    x = 589.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.