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Finding the Fourth Proportional to 403.16, 604.61 and 208.13

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Solution

The fourth proportional to 403.16, 604.61 and 208.13 is: 312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.16 : 604.61 = 208.13 : x
  2. Step 2: Convert to fraction form
    403.16/604.61 = 208.13/x
  3. Step 3: Cross multiply
    403.16x = 604.61 × 208.13
  4. Step 4: Simplify right side
    403.16x = 125,836.44
  5. Step 5: Solve for x
    x = 125,836.44/403.16
  6. Step 6: Final answer
    x = 312.13

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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.