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Finding the Fourth Proportional to 474.54, 655.27 and 297.80

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Solution

The fourth proportional to 474.54, 655.27 and 297.80 is: 411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.54 : 655.27 = 297.80 : x
  2. Step 2: Convert to fraction form
    474.54/655.27 = 297.80/x
  3. Step 3: Cross multiply
    474.54x = 655.27 × 297.80
  4. Step 4: Simplify right side
    474.54x = 195,134.64
  5. Step 5: Solve for x
    x = 195,134.64/474.54
  6. Step 6: Final answer
    x = 411.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.