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Finding the Fourth Proportional to 474.06, 709.03 and 278.59

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Solution

The fourth proportional to 474.06, 709.03 and 278.59 is: 416.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.06 : 709.03 = 278.59 : x
  2. Step 2: Convert to fraction form
    474.06/709.03 = 278.59/x
  3. Step 3: Cross multiply
    474.06x = 709.03 × 278.59
  4. Step 4: Simplify right side
    474.06x = 197,527.27
  5. Step 5: Solve for x
    x = 197,527.27/474.06
  6. Step 6: Final answer
    x = 416.68

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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.