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Finding the Fourth Proportional to 583.80, 874.35 and 400.20

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Solution

The fourth proportional to 583.80, 874.35 and 400.20 is: 599.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.80 : 874.35 = 400.20 : x
  2. Step 2: Convert to fraction form
    583.80/874.35 = 400.20/x
  3. Step 3: Cross multiply
    583.80x = 874.35 × 400.20
  4. Step 4: Simplify right side
    583.80x = 349,914.87
  5. Step 5: Solve for x
    x = 349,914.87/583.80
  6. Step 6: Final answer
    x = 599.37

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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.