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Finding the Fourth Proportional to 582.22, 872.83 and 235.54

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Solution

The fourth proportional to 582.22, 872.83 and 235.54 is: 353.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.22 : 872.83 = 235.54 : x
  2. Step 2: Convert to fraction form
    582.22/872.83 = 235.54/x
  3. Step 3: Cross multiply
    582.22x = 872.83 × 235.54
  4. Step 4: Simplify right side
    582.22x = 205,586.38
  5. Step 5: Solve for x
    x = 205,586.38/582.22
  6. Step 6: Final answer
    x = 353.11

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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.