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Finding the Fourth Proportional to 524.68, 787.29 and 216.76

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Solution

The fourth proportional to 524.68, 787.29 and 216.76 is: 325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.68 : 787.29 = 216.76 : x
  2. Step 2: Convert to fraction form
    524.68/787.29 = 216.76/x
  3. Step 3: Cross multiply
    524.68x = 787.29 × 216.76
  4. Step 4: Simplify right side
    524.68x = 170,652.98
  5. Step 5: Solve for x
    x = 170,652.98/524.68
  6. Step 6: Final answer
    x = 325.25

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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.