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Finding the Fourth Proportional to 582.09, 873.23 and 197.25

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Solution

The fourth proportional to 582.09, 873.23 and 197.25 is: 295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.09 : 873.23 = 197.25 : x
  2. Step 2: Convert to fraction form
    582.09/873.23 = 197.25/x
  3. Step 3: Cross multiply
    582.09x = 873.23 × 197.25
  4. Step 4: Simplify right side
    582.09x = 172,243.63
  5. Step 5: Solve for x
    x = 172,243.63/582.09
  6. Step 6: Final answer
    x = 295.91

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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.