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Finding the Fourth Proportional to 525.79, 788.06 and 217.38

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Solution

The fourth proportional to 525.79, 788.06 and 217.38 is: 325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.79 : 788.06 = 217.38 : x
  2. Step 2: Convert to fraction form
    525.79/788.06 = 217.38/x
  3. Step 3: Cross multiply
    525.79x = 788.06 × 217.38
  4. Step 4: Simplify right side
    525.79x = 171,311.98
  5. Step 5: Solve for x
    x = 171,311.98/525.79
  6. Step 6: Final answer
    x = 325.82

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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.