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Finding the Fourth Proportional to 524.94, 787.80 and 216.99

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Solution

The fourth proportional to 524.94, 787.80 and 216.99 is: 325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.94 : 787.80 = 216.99 : x
  2. Step 2: Convert to fraction form
    524.94/787.80 = 216.99/x
  3. Step 3: Cross multiply
    524.94x = 787.80 × 216.99
  4. Step 4: Simplify right side
    524.94x = 170,944.72
  5. Step 5: Solve for x
    x = 170,944.72/524.94
  6. Step 6: Final answer
    x = 325.65

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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.