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Finding the Fourth Proportional to 391.84, 587.58 and 135.34

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Solution

The fourth proportional to 391.84, 587.58 and 135.34 is: 202.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.84 : 587.58 = 135.34 : x
  2. Step 2: Convert to fraction form
    391.84/587.58 = 135.34/x
  3. Step 3: Cross multiply
    391.84x = 587.58 × 135.34
  4. Step 4: Simplify right side
    391.84x = 79,523.08
  5. Step 5: Solve for x
    x = 79,523.08/391.84
  6. Step 6: Final answer
    x = 202.95

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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.