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Finding the Fourth Proportional to 474.78, 655.20 and 288.23

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Solution

The fourth proportional to 474.78, 655.20 and 288.23 is: 397.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.78 : 655.20 = 288.23 : x
  2. Step 2: Convert to fraction form
    474.78/655.20 = 288.23/x
  3. Step 3: Cross multiply
    474.78x = 655.20 × 288.23
  4. Step 4: Simplify right side
    474.78x = 188,848.30
  5. Step 5: Solve for x
    x = 188,848.30/474.78
  6. Step 6: Final answer
    x = 397.76

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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.