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Finding the Fourth Proportional to 524.81, 787.46 and 329.81

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Solution

The fourth proportional to 524.81, 787.46 and 329.81 is: 494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.81 : 787.46 = 329.81 : x
  2. Step 2: Convert to fraction form
    524.81/787.46 = 329.81/x
  3. Step 3: Cross multiply
    524.81x = 787.46 × 329.81
  4. Step 4: Simplify right side
    524.81x = 259,706.60
  5. Step 5: Solve for x
    x = 259,706.60/524.81
  6. Step 6: Final answer
    x = 494.86

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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.