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Finding the Fourth Proportional to 661.02, 911.90 and 464.78

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Solution

The fourth proportional to 661.02, 911.90 and 464.78 is: 641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.02 : 911.90 = 464.78 : x
  2. Step 2: Convert to fraction form
    661.02/911.90 = 464.78/x
  3. Step 3: Cross multiply
    661.02x = 911.90 × 464.78
  4. Step 4: Simplify right side
    661.02x = 423,832.88
  5. Step 5: Solve for x
    x = 423,832.88/661.02
  6. Step 6: Final answer
    x = 641.18

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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.