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Finding the Fourth Proportional to 661.54, 991.68 and 228.46

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Solution

The fourth proportional to 661.54, 991.68 and 228.46 is: 342.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.54 : 991.68 = 228.46 : x
  2. Step 2: Convert to fraction form
    661.54/991.68 = 228.46/x
  3. Step 3: Cross multiply
    661.54x = 991.68 × 228.46
  4. Step 4: Simplify right side
    661.54x = 226,559.21
  5. Step 5: Solve for x
    x = 226,559.21/661.54
  6. Step 6: Final answer
    x = 342.47

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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.