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Finding the Fourth Proportional to 583.86, 874.98 and 309.84

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Solution

The fourth proportional to 583.86, 874.98 and 309.84 is: 464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.86 : 874.98 = 309.84 : x
  2. Step 2: Convert to fraction form
    583.86/874.98 = 309.84/x
  3. Step 3: Cross multiply
    583.86x = 874.98 × 309.84
  4. Step 4: Simplify right side
    583.86x = 271,103.80
  5. Step 5: Solve for x
    x = 271,103.80/583.86
  6. Step 6: Final answer
    x = 464.33

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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.