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Finding the Fourth Proportional to 440.16, 660.42 and 419.46

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Solution

The fourth proportional to 440.16, 660.42 and 419.46 is: 629.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.16 : 660.42 = 419.46 : x
  2. Step 2: Convert to fraction form
    440.16/660.42 = 419.46/x
  3. Step 3: Cross multiply
    440.16x = 660.42 × 419.46
  4. Step 4: Simplify right side
    440.16x = 277,019.77
  5. Step 5: Solve for x
    x = 277,019.77/440.16
  6. Step 6: Final answer
    x = 629.36

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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.