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Finding the Fourth Proportional to 583.89, 874.62 and 364.20

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Solution

The fourth proportional to 583.89, 874.62 and 364.20 is: 545.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.89 : 874.62 = 364.20 : x
  2. Step 2: Convert to fraction form
    583.89/874.62 = 364.20/x
  3. Step 3: Cross multiply
    583.89x = 874.62 × 364.20
  4. Step 4: Simplify right side
    583.89x = 318,536.60
  5. Step 5: Solve for x
    x = 318,536.60/583.89
  6. Step 6: Final answer
    x = 545.54

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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.