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Finding the Fourth Proportional to 534.34, 796.50 and 475.48

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Solution

The fourth proportional to 534.34, 796.50 and 475.48 is: 708.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.34 : 796.50 = 475.48 : x
  2. Step 2: Convert to fraction form
    534.34/796.50 = 475.48/x
  3. Step 3: Cross multiply
    534.34x = 796.50 × 475.48
  4. Step 4: Simplify right side
    534.34x = 378,719.82
  5. Step 5: Solve for x
    x = 378,719.82/534.34
  6. Step 6: Final answer
    x = 708.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.