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Finding the Fourth Proportional to 525.54, 787.49 and 361.08

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Solution

The fourth proportional to 525.54, 787.49 and 361.08 is: 541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.54 : 787.49 = 361.08 : x
  2. Step 2: Convert to fraction form
    525.54/787.49 = 361.08/x
  3. Step 3: Cross multiply
    525.54x = 787.49 × 361.08
  4. Step 4: Simplify right side
    525.54x = 284,348.41
  5. Step 5: Solve for x
    x = 284,348.41/525.54
  6. Step 6: Final answer
    x = 541.06

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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.