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Finding the Fourth Proportional to 440.74, 661.02 and 278.74

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Solution

The fourth proportional to 440.74, 661.02 and 278.74 is: 418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.74 : 661.02 = 278.74 : x
  2. Step 2: Convert to fraction form
    440.74/661.02 = 278.74/x
  3. Step 3: Cross multiply
    440.74x = 661.02 × 278.74
  4. Step 4: Simplify right side
    440.74x = 184,252.71
  5. Step 5: Solve for x
    x = 184,252.71/440.74
  6. Step 6: Final answer
    x = 418.05

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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.