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Finding the Fourth Proportional to 582.57, 873.83 and 235.80

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Solution

The fourth proportional to 582.57, 873.83 and 235.80 is: 353.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.57 : 873.83 = 235.80 : x
  2. Step 2: Convert to fraction form
    582.57/873.83 = 235.80/x
  3. Step 3: Cross multiply
    582.57x = 873.83 × 235.80
  4. Step 4: Simplify right side
    582.57x = 206,049.70
  5. Step 5: Solve for x
    x = 206,049.70/582.57
  6. Step 6: Final answer
    x = 353.69

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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.