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Finding the Fourth Proportional to 661.67, 991.82 and 383.67

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Solution

The fourth proportional to 661.67, 991.82 and 383.67 is: 575.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.67 : 991.82 = 383.67 : x
  2. Step 2: Convert to fraction form
    661.67/991.82 = 383.67/x
  3. Step 3: Cross multiply
    661.67x = 991.82 × 383.67
  4. Step 4: Simplify right side
    661.67x = 380,529.66
  5. Step 5: Solve for x
    x = 380,529.66/661.67
  6. Step 6: Final answer
    x = 575.11

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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.