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Finding the Fourth Proportional to 525.19, 787.77 and 216.96

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Solution

The fourth proportional to 525.19, 787.77 and 216.96 is: 325.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.19 : 787.77 = 216.96 : x
  2. Step 2: Convert to fraction form
    525.19/787.77 = 216.96/x
  3. Step 3: Cross multiply
    525.19x = 787.77 × 216.96
  4. Step 4: Simplify right side
    525.19x = 170,914.58
  5. Step 5: Solve for x
    x = 170,914.58/525.19
  6. Step 6: Final answer
    x = 325.43

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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.