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Finding the Fourth Proportional to 582.75, 873.68 and 257.94

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Solution

The fourth proportional to 582.75, 873.68 and 257.94 is: 386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.75 : 873.68 = 257.94 : x
  2. Step 2: Convert to fraction form
    582.75/873.68 = 257.94/x
  3. Step 3: Cross multiply
    582.75x = 873.68 × 257.94
  4. Step 4: Simplify right side
    582.75x = 225,355.73
  5. Step 5: Solve for x
    x = 225,355.73/582.75
  6. Step 6: Final answer
    x = 386.71

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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.