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Finding the Fourth Proportional to 466.24, 699.90 and 440.68

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Solution

The fourth proportional to 466.24, 699.90 and 440.68 is: 661.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.24 : 699.90 = 440.68 : x
  2. Step 2: Convert to fraction form
    466.24/699.90 = 440.68/x
  3. Step 3: Cross multiply
    466.24x = 699.90 × 440.68
  4. Step 4: Simplify right side
    466.24x = 308,431.93
  5. Step 5: Solve for x
    x = 308,431.93/466.24
  6. Step 6: Final answer
    x = 661.53

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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.