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Finding the Fourth Proportional to 590.75, 815.43 and 394.23

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Solution

The fourth proportional to 590.75, 815.43 and 394.23 is: 544.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.75 : 815.43 = 394.23 : x
  2. Step 2: Convert to fraction form
    590.75/815.43 = 394.23/x
  3. Step 3: Cross multiply
    590.75x = 815.43 × 394.23
  4. Step 4: Simplify right side
    590.75x = 321,466.97
  5. Step 5: Solve for x
    x = 321,466.97/590.75
  6. Step 6: Final answer
    x = 544.17

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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.