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Finding the Fourth Proportional to 391.57, 542.83 and 370.76

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Solution

The fourth proportional to 391.57, 542.83 and 370.76 is: 513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.57 : 542.83 = 370.76 : x
  2. Step 2: Convert to fraction form
    391.57/542.83 = 370.76/x
  3. Step 3: Cross multiply
    391.57x = 542.83 × 370.76
  4. Step 4: Simplify right side
    391.57x = 201,256.94
  5. Step 5: Solve for x
    x = 201,256.94/391.57
  6. Step 6: Final answer
    x = 513.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.