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Finding the Fourth Proportional to 583.21, 874.80 and 506.05

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Solution

The fourth proportional to 583.21, 874.80 and 506.05 is: 759.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.21 : 874.80 = 506.05 : x
  2. Step 2: Convert to fraction form
    583.21/874.80 = 506.05/x
  3. Step 3: Cross multiply
    583.21x = 874.80 × 506.05
  4. Step 4: Simplify right side
    583.21x = 442,692.54
  5. Step 5: Solve for x
    x = 442,692.54/583.21
  6. Step 6: Final answer
    x = 759.06

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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.