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Finding the Fourth Proportional to 474.08, 711.24 and 185.42

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Solution

The fourth proportional to 474.08, 711.24 and 185.42 is: 278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.08 : 711.24 = 185.42 : x
  2. Step 2: Convert to fraction form
    474.08/711.24 = 185.42/x
  3. Step 3: Cross multiply
    474.08x = 711.24 × 185.42
  4. Step 4: Simplify right side
    474.08x = 131,878.12
  5. Step 5: Solve for x
    x = 131,878.12/474.08
  6. Step 6: Final answer
    x = 278.18

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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.