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Finding the Fourth Proportional to 475.23, 654.21 and 412.20

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Solution

The fourth proportional to 475.23, 654.21 and 412.20 is: 567.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.23 : 654.21 = 412.20 : x
  2. Step 2: Convert to fraction form
    475.23/654.21 = 412.20/x
  3. Step 3: Cross multiply
    475.23x = 654.21 × 412.20
  4. Step 4: Simplify right side
    475.23x = 269,665.36
  5. Step 5: Solve for x
    x = 269,665.36/475.23
  6. Step 6: Final answer
    x = 567.44

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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.