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Finding the Fourth Proportional to 525.80, 725.15 and 447.36

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Solution

The fourth proportional to 525.80, 725.15 and 447.36 is: 616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.80 : 725.15 = 447.36 : x
  2. Step 2: Convert to fraction form
    525.80/725.15 = 447.36/x
  3. Step 3: Cross multiply
    525.80x = 725.15 × 447.36
  4. Step 4: Simplify right side
    525.80x = 324,403.10
  5. Step 5: Solve for x
    x = 324,403.10/525.80
  6. Step 6: Final answer
    x = 616.97

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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.