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Finding the Fourth Proportional to 366.60, 550.08 and 286.16

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Solution

The fourth proportional to 366.60, 550.08 and 286.16 is: 429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.60 : 550.08 = 286.16 : x
  2. Step 2: Convert to fraction form
    366.60/550.08 = 286.16/x
  3. Step 3: Cross multiply
    366.60x = 550.08 × 286.16
  4. Step 4: Simplify right side
    366.60x = 157,410.89
  5. Step 5: Solve for x
    x = 157,410.89/366.60
  6. Step 6: Final answer
    x = 429.38

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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.