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Finding the Fourth Proportional to 373.92, 515.34 and 286.80

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Solution

The fourth proportional to 373.92, 515.34 and 286.80 is: 395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.92 : 515.34 = 286.80 : x
  2. Step 2: Convert to fraction form
    373.92/515.34 = 286.80/x
  3. Step 3: Cross multiply
    373.92x = 515.34 × 286.80
  4. Step 4: Simplify right side
    373.92x = 147,799.51
  5. Step 5: Solve for x
    x = 147,799.51/373.92
  6. Step 6: Final answer
    x = 395.27

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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.