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Finding the Fourth Proportional to 583.71, 874.17 and 475.26

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Solution

The fourth proportional to 583.71, 874.17 and 475.26 is: 711.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.71 : 874.17 = 475.26 : x
  2. Step 2: Convert to fraction form
    583.71/874.17 = 475.26/x
  3. Step 3: Cross multiply
    583.71x = 874.17 × 475.26
  4. Step 4: Simplify right side
    583.71x = 415,458.03
  5. Step 5: Solve for x
    x = 415,458.03/583.71
  6. Step 6: Final answer
    x = 711.75

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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.