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Finding the Fourth Proportional to 582.73, 874.37 and 366.19

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Solution

The fourth proportional to 582.73, 874.37 and 366.19 is: 549.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.73 : 874.37 = 366.19 : x
  2. Step 2: Convert to fraction form
    582.73/874.37 = 366.19/x
  3. Step 3: Cross multiply
    582.73x = 874.37 × 366.19
  4. Step 4: Simplify right side
    582.73x = 320,185.55
  5. Step 5: Solve for x
    x = 320,185.55/582.73
  6. Step 6: Final answer
    x = 549.46

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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.