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Finding the Fourth Proportional to 552.31, 828.01 and 259.66

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Solution

The fourth proportional to 552.31, 828.01 and 259.66 is: 389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.31 : 828.01 = 259.66 : x
  2. Step 2: Convert to fraction form
    552.31/828.01 = 259.66/x
  3. Step 3: Cross multiply
    552.31x = 828.01 × 259.66
  4. Step 4: Simplify right side
    552.31x = 215,001.08
  5. Step 5: Solve for x
    x = 215,001.08/552.31
  6. Step 6: Final answer
    x = 389.28

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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.