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Finding the Fourth Proportional to 378.47, 519.50 and 336.08

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Solution

The fourth proportional to 378.47, 519.50 and 336.08 is: 461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.47 : 519.50 = 336.08 : x
  2. Step 2: Convert to fraction form
    378.47/519.50 = 336.08/x
  3. Step 3: Cross multiply
    378.47x = 519.50 × 336.08
  4. Step 4: Simplify right side
    378.47x = 174,593.81
  5. Step 5: Solve for x
    x = 174,593.81/378.47
  6. Step 6: Final answer
    x = 461.31

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.