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Finding the Fourth Proportional to 440.64, 664.20 and 401.76

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Solution

The fourth proportional to 440.64, 664.20 and 401.76 is: 605.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.64 : 664.20 = 401.76 : x
  2. Step 2: Convert to fraction form
    440.64/664.20 = 401.76/x
  3. Step 3: Cross multiply
    440.64x = 664.20 × 401.76
  4. Step 4: Simplify right side
    440.64x = 266,848.99
  5. Step 5: Solve for x
    x = 266,848.99/440.64
  6. Step 6: Final answer
    x = 605.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.