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Finding the Fourth Proportional to 582.26, 873.55 and 197.54

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Solution

The fourth proportional to 582.26, 873.55 and 197.54 is: 296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.26 : 873.55 = 197.54 : x
  2. Step 2: Convert to fraction form
    582.26/873.55 = 197.54/x
  3. Step 3: Cross multiply
    582.26x = 873.55 × 197.54
  4. Step 4: Simplify right side
    582.26x = 172,561.07
  5. Step 5: Solve for x
    x = 172,561.07/582.26
  6. Step 6: Final answer
    x = 296.36

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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.