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Finding the Fourth Proportional to 591.70, 815.14 and 414.33

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Solution

The fourth proportional to 591.70, 815.14 and 414.33 is: 570.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.70 : 815.14 = 414.33 : x
  2. Step 2: Convert to fraction form
    591.70/815.14 = 414.33/x
  3. Step 3: Cross multiply
    591.70x = 815.14 × 414.33
  4. Step 4: Simplify right side
    591.70x = 337,736.96
  5. Step 5: Solve for x
    x = 337,736.96/591.70
  6. Step 6: Final answer
    x = 570.79

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