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Finding the Fourth Proportional to 583.37, 874.61 and 275.19

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Solution

The fourth proportional to 583.37, 874.61 and 275.19 is: 412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.37 : 874.61 = 275.19 : x
  2. Step 2: Convert to fraction form
    583.37/874.61 = 275.19/x
  3. Step 3: Cross multiply
    583.37x = 874.61 × 275.19
  4. Step 4: Simplify right side
    583.37x = 240,683.93
  5. Step 5: Solve for x
    x = 240,683.93/583.37
  6. Step 6: Final answer
    x = 412.58

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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.