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Finding the Fourth Proportional to 661.05, 912.26 and 366.31

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Solution

The fourth proportional to 661.05, 912.26 and 366.31 is: 505.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.05 : 912.26 = 366.31 : x
  2. Step 2: Convert to fraction form
    661.05/912.26 = 366.31/x
  3. Step 3: Cross multiply
    661.05x = 912.26 × 366.31
  4. Step 4: Simplify right side
    661.05x = 334,169.96
  5. Step 5: Solve for x
    x = 334,169.96/661.05
  6. Step 6: Final answer
    x = 505.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.