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Finding the Fourth Proportional to 525.80, 725.16 and 348.77

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Solution

The fourth proportional to 525.80, 725.16 and 348.77 is: 481.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.80 : 725.16 = 348.77 : x
  2. Step 2: Convert to fraction form
    525.80/725.16 = 348.77/x
  3. Step 3: Cross multiply
    525.80x = 725.16 × 348.77
  4. Step 4: Simplify right side
    525.80x = 252,910.43
  5. Step 5: Solve for x
    x = 252,910.43/525.80
  6. Step 6: Final answer
    x = 481.01

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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.