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Finding the Fourth Proportional to 584.75, 806.76 and 374.91

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Solution

The fourth proportional to 584.75, 806.76 and 374.91 is: 517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.75 : 806.76 = 374.91 : x
  2. Step 2: Convert to fraction form
    584.75/806.76 = 374.91/x
  3. Step 3: Cross multiply
    584.75x = 806.76 × 374.91
  4. Step 4: Simplify right side
    584.75x = 302,462.39
  5. Step 5: Solve for x
    x = 302,462.39/584.75
  6. Step 6: Final answer
    x = 517.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.