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Finding the Fourth Proportional to 474.80, 655.05 and 288.23

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Solution

The fourth proportional to 474.80, 655.05 and 288.23 is: 397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.80 : 655.05 = 288.23 : x
  2. Step 2: Convert to fraction form
    474.80/655.05 = 288.23/x
  3. Step 3: Cross multiply
    474.80x = 655.05 × 288.23
  4. Step 4: Simplify right side
    474.80x = 188,801.79
  5. Step 5: Solve for x
    x = 188,801.79/474.80
  6. Step 6: Final answer
    x = 397.65

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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.