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Finding the Fourth Proportional to 525.66, 788.54 and 217.46

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Solution

The fourth proportional to 525.66, 788.54 and 217.46 is: 326.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.66 : 788.54 = 217.46 : x
  2. Step 2: Convert to fraction form
    525.66/788.54 = 217.46/x
  3. Step 3: Cross multiply
    525.66x = 788.54 × 217.46
  4. Step 4: Simplify right side
    525.66x = 171,470.88
  5. Step 5: Solve for x
    x = 171,470.88/525.66
  6. Step 6: Final answer
    x = 326.20

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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.