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Finding the Fourth Proportional to 584.99, 806.86 and 375

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Solution

The fourth proportional to 584.99, 806.86 and 375 is: 517.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.99 : 806.86 = 375 : x
  2. Step 2: Convert to fraction form
    584.99/806.86 = 375/x
  3. Step 3: Cross multiply
    584.99x = 806.86 × 375
  4. Step 4: Simplify right side
    584.99x = 302,572.50
  5. Step 5: Solve for x
    x = 302,572.50/584.99
  6. Step 6: Final answer
    x = 517.23

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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.