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Finding the Fourth Proportional to 403.09, 600.56 and 378.25

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Solution

The fourth proportional to 403.09, 600.56 and 378.25 is: 563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.09 : 600.56 = 378.25 : x
  2. Step 2: Convert to fraction form
    403.09/600.56 = 378.25/x
  3. Step 3: Cross multiply
    403.09x = 600.56 × 378.25
  4. Step 4: Simplify right side
    403.09x = 227,161.82
  5. Step 5: Solve for x
    x = 227,161.82/403.09
  6. Step 6: Final answer
    x = 563.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.