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Finding the Fourth Proportional to 525.10, 787.56 and 320.98

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Solution

The fourth proportional to 525.10, 787.56 and 320.98 is: 481.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.10 : 787.56 = 320.98 : x
  2. Step 2: Convert to fraction form
    525.10/787.56 = 320.98/x
  3. Step 3: Cross multiply
    525.10x = 787.56 × 320.98
  4. Step 4: Simplify right side
    525.10x = 252,791.01
  5. Step 5: Solve for x
    x = 252,791.01/525.10
  6. Step 6: Final answer
    x = 481.41

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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.