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Finding the Fourth Proportional to 552.41, 828.45 and 259.82

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Solution

The fourth proportional to 552.41, 828.45 and 259.82 is: 389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.41 : 828.45 = 259.82 : x
  2. Step 2: Convert to fraction form
    552.41/828.45 = 259.82/x
  3. Step 3: Cross multiply
    552.41x = 828.45 × 259.82
  4. Step 4: Simplify right side
    552.41x = 215,243.74
  5. Step 5: Solve for x
    x = 215,243.74/552.41
  6. Step 6: Final answer
    x = 389.65

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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.