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Finding the Fourth Proportional to 582.58, 871.80 and 506.44

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Solution

The fourth proportional to 582.58, 871.80 and 506.44 is: 757.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.58 : 871.80 = 506.44 : x
  2. Step 2: Convert to fraction form
    582.58/871.80 = 506.44/x
  3. Step 3: Cross multiply
    582.58x = 871.80 × 506.44
  4. Step 4: Simplify right side
    582.58x = 441,514.39
  5. Step 5: Solve for x
    x = 441,514.39/582.58
  6. Step 6: Final answer
    x = 757.86

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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.