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Finding the Fourth Proportional to 474.32, 711.44 and 185.68

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Solution

The fourth proportional to 474.32, 711.44 and 185.68 is: 278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.32 : 711.44 = 185.68 : x
  2. Step 2: Convert to fraction form
    474.32/711.44 = 185.68/x
  3. Step 3: Cross multiply
    474.32x = 711.44 × 185.68
  4. Step 4: Simplify right side
    474.32x = 132,100.18
  5. Step 5: Solve for x
    x = 132,100.18/474.32
  6. Step 6: Final answer
    x = 278.50

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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.