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Finding the Fourth Proportional to 661.15, 991.79 and 228.25

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Solution

The fourth proportional to 661.15, 991.79 and 228.25 is: 342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.15 : 991.79 = 228.25 : x
  2. Step 2: Convert to fraction form
    661.15/991.79 = 228.25/x
  3. Step 3: Cross multiply
    661.15x = 991.79 × 228.25
  4. Step 4: Simplify right side
    661.15x = 226,376.07
  5. Step 5: Solve for x
    x = 226,376.07/661.15
  6. Step 6: Final answer
    x = 342.40

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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.