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Finding the Fourth Proportional to 525.35, 725.05 and 394.13

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Solution

The fourth proportional to 525.35, 725.05 and 394.13 is: 543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.35 : 725.05 = 394.13 : x
  2. Step 2: Convert to fraction form
    525.35/725.05 = 394.13/x
  3. Step 3: Cross multiply
    525.35x = 725.05 × 394.13
  4. Step 4: Simplify right side
    525.35x = 285,760.33
  5. Step 5: Solve for x
    x = 285,760.33/525.35
  6. Step 6: Final answer
    x = 543.95

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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.