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Finding the Fourth Proportional to 400.63, 552.75 and 223.57

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Solution

The fourth proportional to 400.63, 552.75 and 223.57 is: 308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.63 : 552.75 = 223.57 : x
  2. Step 2: Convert to fraction form
    400.63/552.75 = 223.57/x
  3. Step 3: Cross multiply
    400.63x = 552.75 × 223.57
  4. Step 4: Simplify right side
    400.63x = 123,575.95
  5. Step 5: Solve for x
    x = 123,575.95/400.63
  6. Step 6: Final answer
    x = 308.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.