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Finding the Fourth Proportional to 391.70, 588.47 and 369.54

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Solution

The fourth proportional to 391.70, 588.47 and 369.54 is: 555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.70 : 588.47 = 369.54 : x
  2. Step 2: Convert to fraction form
    391.70/588.47 = 369.54/x
  3. Step 3: Cross multiply
    391.70x = 588.47 × 369.54
  4. Step 4: Simplify right side
    391.70x = 217,462.04
  5. Step 5: Solve for x
    x = 217,462.04/391.70
  6. Step 6: Final answer
    x = 555.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.