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Finding the Fourth Proportional to 552, 827.94 and 475.47

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Solution

The fourth proportional to 552, 827.94 and 475.47 is: 713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    552 : 827.94 = 475.47 : x
  2. Step 2: Convert to fraction form
    552/827.94 = 475.47/x
  3. Step 3: Cross multiply
    552x = 827.94 × 475.47
  4. Step 4: Simplify right side
    552x = 393,660.63
  5. Step 5: Solve for x
    x = 393,660.63/552
  6. Step 6: Final answer
    x = 713.15

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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.