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Finding the Fourth Proportional to 661.42, 991.94 and 383.86

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Solution

The fourth proportional to 661.42, 991.94 and 383.86 is: 575.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.42 : 991.94 = 383.86 : x
  2. Step 2: Convert to fraction form
    661.42/991.94 = 383.86/x
  3. Step 3: Cross multiply
    661.42x = 991.94 × 383.86
  4. Step 4: Simplify right side
    661.42x = 380,766.09
  5. Step 5: Solve for x
    x = 380,766.09/661.42
  6. Step 6: Final answer
    x = 575.68

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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.