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Finding the Fourth Proportional to 391.17, 587.04 and 274.86

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Solution

The fourth proportional to 391.17, 587.04 and 274.86 is: 412.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.17 : 587.04 = 274.86 : x
  2. Step 2: Convert to fraction form
    391.17/587.04 = 274.86/x
  3. Step 3: Cross multiply
    391.17x = 587.04 × 274.86
  4. Step 4: Simplify right side
    391.17x = 161,353.81
  5. Step 5: Solve for x
    x = 161,353.81/391.17
  6. Step 6: Final answer
    x = 412.49

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Why These Related Problems?

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