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Finding the Fourth Proportional to 583.98, 874.74 and 363.87

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Solution

The fourth proportional to 583.98, 874.74 and 363.87 is: 545.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.98 : 874.74 = 363.87 : x
  2. Step 2: Convert to fraction form
    583.98/874.74 = 363.87/x
  3. Step 3: Cross multiply
    583.98x = 874.74 × 363.87
  4. Step 4: Simplify right side
    583.98x = 318,291.64
  5. Step 5: Solve for x
    x = 318,291.64/583.98
  6. Step 6: Final answer
    x = 545.04

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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.