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Finding the Fourth Proportional to 403.64, 601.42 and 385.94

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Solution

The fourth proportional to 403.64, 601.42 and 385.94 is: 575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.64 : 601.42 = 385.94 : x
  2. Step 2: Convert to fraction form
    403.64/601.42 = 385.94/x
  3. Step 3: Cross multiply
    403.64x = 601.42 × 385.94
  4. Step 4: Simplify right side
    403.64x = 232,112.03
  5. Step 5: Solve for x
    x = 232,112.03/403.64
  6. Step 6: Final answer
    x = 575.05

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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.