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Finding the Fourth Proportional to 433.87, 598.28 and 286.31

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Solution

The fourth proportional to 433.87, 598.28 and 286.31 is: 394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.87 : 598.28 = 286.31 : x
  2. Step 2: Convert to fraction form
    433.87/598.28 = 286.31/x
  3. Step 3: Cross multiply
    433.87x = 598.28 × 286.31
  4. Step 4: Simplify right side
    433.87x = 171,295.76
  5. Step 5: Solve for x
    x = 171,295.76/433.87
  6. Step 6: Final answer
    x = 394.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.