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Finding the Fourth Proportional to 525.28, 787.62 and 216.78

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Solution

The fourth proportional to 525.28, 787.62 and 216.78 is: 325.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.28 : 787.62 = 216.78 : x
  2. Step 2: Convert to fraction form
    525.28/787.62 = 216.78/x
  3. Step 3: Cross multiply
    525.28x = 787.62 × 216.78
  4. Step 4: Simplify right side
    525.28x = 170,740.26
  5. Step 5: Solve for x
    x = 170,740.26/525.28
  6. Step 6: Final answer
    x = 325.05

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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.