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Finding the Fourth Proportional to 582.58, 873.87 and 257.97

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Solution

The fourth proportional to 582.58, 873.87 and 257.97 is: 386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.58 : 873.87 = 257.97 : x
  2. Step 2: Convert to fraction form
    582.58/873.87 = 257.97/x
  3. Step 3: Cross multiply
    582.58x = 873.87 × 257.97
  4. Step 4: Simplify right side
    582.58x = 225,432.24
  5. Step 5: Solve for x
    x = 225,432.24/582.58
  6. Step 6: Final answer
    x = 386.96

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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.