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Finding the Fourth Proportional to 583.80, 874.41 and 339.72

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Solution

The fourth proportional to 583.80, 874.41 and 339.72 is: 508.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.80 : 874.41 = 339.72 : x
  2. Step 2: Convert to fraction form
    583.80/874.41 = 339.72/x
  3. Step 3: Cross multiply
    583.80x = 874.41 × 339.72
  4. Step 4: Simplify right side
    583.80x = 297,054.57
  5. Step 5: Solve for x
    x = 297,054.57/583.80
  6. Step 6: Final answer
    x = 508.83

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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.