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Finding the Fourth Proportional to 386.13, 577.36 and 337.84

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Solution

The fourth proportional to 386.13, 577.36 and 337.84 is: 505.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.13 : 577.36 = 337.84 : x
  2. Step 2: Convert to fraction form
    386.13/577.36 = 337.84/x
  3. Step 3: Cross multiply
    386.13x = 577.36 × 337.84
  4. Step 4: Simplify right side
    386.13x = 195,054.28
  5. Step 5: Solve for x
    x = 195,054.28/386.13
  6. Step 6: Final answer
    x = 505.15

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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.