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Finding the Fourth Proportional to 380.63, 525.21 and 223.31

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Solution

The fourth proportional to 380.63, 525.21 and 223.31 is: 308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.63 : 525.21 = 223.31 : x
  2. Step 2: Convert to fraction form
    380.63/525.21 = 223.31/x
  3. Step 3: Cross multiply
    380.63x = 525.21 × 223.31
  4. Step 4: Simplify right side
    380.63x = 117,282.02
  5. Step 5: Solve for x
    x = 117,282.02/380.63
  6. Step 6: Final answer
    x = 308.13

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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.