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Finding the Fourth Proportional to 400.63, 600.47 and 181.01

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Solution

The fourth proportional to 400.63, 600.47 and 181.01 is: 271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.63 : 600.47 = 181.01 : x
  2. Step 2: Convert to fraction form
    400.63/600.47 = 181.01/x
  3. Step 3: Cross multiply
    400.63x = 600.47 × 181.01
  4. Step 4: Simplify right side
    400.63x = 108,691.07
  5. Step 5: Solve for x
    x = 108,691.07/400.63
  6. Step 6: Final answer
    x = 271.30

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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.