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Finding the Fourth Proportional to 583.92, 874.05 and 427.41

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Solution

The fourth proportional to 583.92, 874.05 and 427.41 is: 639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.92 : 874.05 = 427.41 : x
  2. Step 2: Convert to fraction form
    583.92/874.05 = 427.41/x
  3. Step 3: Cross multiply
    583.92x = 874.05 × 427.41
  4. Step 4: Simplify right side
    583.92x = 373,577.71
  5. Step 5: Solve for x
    x = 373,577.71/583.92
  6. Step 6: Final answer
    x = 639.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.