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Finding the Fourth Proportional to 474.24, 711.06 and 185.52

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Solution

The fourth proportional to 474.24, 711.06 and 185.52 is: 278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.24 : 711.06 = 185.52 : x
  2. Step 2: Convert to fraction form
    474.24/711.06 = 185.52/x
  3. Step 3: Cross multiply
    474.24x = 711.06 × 185.52
  4. Step 4: Simplify right side
    474.24x = 131,915.85
  5. Step 5: Solve for x
    x = 131,915.85/474.24
  6. Step 6: Final answer
    x = 278.16

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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.