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Finding the Fourth Proportional to 525.55, 724.92 and 394.33

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Solution

The fourth proportional to 525.55, 724.92 and 394.33 is: 543.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.55 : 724.92 = 394.33 : x
  2. Step 2: Convert to fraction form
    525.55/724.92 = 394.33/x
  3. Step 3: Cross multiply
    525.55x = 724.92 × 394.33
  4. Step 4: Simplify right side
    525.55x = 285,857.70
  5. Step 5: Solve for x
    x = 285,857.70/525.55
  6. Step 6: Final answer
    x = 543.92

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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.