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Finding the Fourth Proportional to 380.74, 571.14 and 172.63

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Solution

The fourth proportional to 380.74, 571.14 and 172.63 is: 258.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.74 : 571.14 = 172.63 : x
  2. Step 2: Convert to fraction form
    380.74/571.14 = 172.63/x
  3. Step 3: Cross multiply
    380.74x = 571.14 × 172.63
  4. Step 4: Simplify right side
    380.74x = 98,595.04
  5. Step 5: Solve for x
    x = 98,595.04/380.74
  6. Step 6: Final answer
    x = 258.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.