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Finding the Fourth Proportional to 380.75, 525.03 and 341.47

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Solution

The fourth proportional to 380.75, 525.03 and 341.47 is: 470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.75 : 525.03 = 341.47 : x
  2. Step 2: Convert to fraction form
    380.75/525.03 = 341.47/x
  3. Step 3: Cross multiply
    380.75x = 525.03 × 341.47
  4. Step 4: Simplify right side
    380.75x = 179,279.37
  5. Step 5: Solve for x
    x = 179,279.37/380.75
  6. Step 6: Final answer
    x = 470.86

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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.