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Finding the Fourth Proportional to 524.44, 787.01 and 455.86

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Solution

The fourth proportional to 524.44, 787.01 and 455.86 is: 684.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.44 : 787.01 = 455.86 : x
  2. Step 2: Convert to fraction form
    524.44/787.01 = 455.86/x
  3. Step 3: Cross multiply
    524.44x = 787.01 × 455.86
  4. Step 4: Simplify right side
    524.44x = 358,766.38
  5. Step 5: Solve for x
    x = 358,766.38/524.44
  6. Step 6: Final answer
    x = 684.09

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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.