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Finding the Fourth Proportional to 583.42, 874.39 and 309.64

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Solution

The fourth proportional to 583.42, 874.39 and 309.64 is: 464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.42 : 874.39 = 309.64 : x
  2. Step 2: Convert to fraction form
    583.42/874.39 = 309.64/x
  3. Step 3: Cross multiply
    583.42x = 874.39 × 309.64
  4. Step 4: Simplify right side
    583.42x = 270,744.57
  5. Step 5: Solve for x
    x = 270,744.57/583.42
  6. Step 6: Final answer
    x = 464.06

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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.