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Finding the Fourth Proportional to 661.22, 991.84 and 228.38

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Solution

The fourth proportional to 661.22, 991.84 and 228.38 is: 342.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.22 : 991.84 = 228.38 : x
  2. Step 2: Convert to fraction form
    661.22/991.84 = 228.38/x
  3. Step 3: Cross multiply
    661.22x = 991.84 × 228.38
  4. Step 4: Simplify right side
    661.22x = 226,516.42
  5. Step 5: Solve for x
    x = 226,516.42/661.22
  6. Step 6: Final answer
    x = 342.57

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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.