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Finding the Fourth Proportional to 524.96, 787.74 and 216.86

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Solution

The fourth proportional to 524.96, 787.74 and 216.86 is: 325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.96 : 787.74 = 216.86 : x
  2. Step 2: Convert to fraction form
    524.96/787.74 = 216.86/x
  3. Step 3: Cross multiply
    524.96x = 787.74 × 216.86
  4. Step 4: Simplify right side
    524.96x = 170,829.30
  5. Step 5: Solve for x
    x = 170,829.30/524.96
  6. Step 6: Final answer
    x = 325.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.