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Finding the Fourth Proportional to 400.51, 600.54 and 205.42

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Solution

The fourth proportional to 400.51, 600.54 and 205.42 is: 308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.51 : 600.54 = 205.42 : x
  2. Step 2: Convert to fraction form
    400.51/600.54 = 205.42/x
  3. Step 3: Cross multiply
    400.51x = 600.54 × 205.42
  4. Step 4: Simplify right side
    400.51x = 123,362.93
  5. Step 5: Solve for x
    x = 123,362.93/400.51
  6. Step 6: Final answer
    x = 308.01

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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.