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Finding the Fourth Proportional to 582.44, 874.02 and 235.77

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Solution

The fourth proportional to 582.44, 874.02 and 235.77 is: 353.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.44 : 874.02 = 235.77 : x
  2. Step 2: Convert to fraction form
    582.44/874.02 = 235.77/x
  3. Step 3: Cross multiply
    582.44x = 874.02 × 235.77
  4. Step 4: Simplify right side
    582.44x = 206,070.09
  5. Step 5: Solve for x
    x = 206,070.09/582.44
  6. Step 6: Final answer
    x = 353.81

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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.