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Finding the Fourth Proportional to 661.16, 912.11 and 464.78

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Solution

The fourth proportional to 661.16, 912.11 and 464.78 is: 641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.16 : 912.11 = 464.78 : x
  2. Step 2: Convert to fraction form
    661.16/912.11 = 464.78/x
  3. Step 3: Cross multiply
    661.16x = 912.11 × 464.78
  4. Step 4: Simplify right side
    661.16x = 423,930.44
  5. Step 5: Solve for x
    x = 423,930.44/661.16
  6. Step 6: Final answer
    x = 641.19

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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.