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Finding the Fourth Proportional to 440.58, 660.42 and 278.04

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Solution

The fourth proportional to 440.58, 660.42 and 278.04 is: 416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.58 : 660.42 = 278.04 : x
  2. Step 2: Convert to fraction form
    440.58/660.42 = 278.04/x
  3. Step 3: Cross multiply
    440.58x = 660.42 × 278.04
  4. Step 4: Simplify right side
    440.58x = 183,623.18
  5. Step 5: Solve for x
    x = 183,623.18/440.58
  6. Step 6: Final answer
    x = 416.78

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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.