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Finding the Fourth Proportional to 433.62, 598.28 and 286.20

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Solution

The fourth proportional to 433.62, 598.28 and 286.20 is: 394.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.62 : 598.28 = 286.20 : x
  2. Step 2: Convert to fraction form
    433.62/598.28 = 286.20/x
  3. Step 3: Cross multiply
    433.62x = 598.28 × 286.20
  4. Step 4: Simplify right side
    433.62x = 171,227.74
  5. Step 5: Solve for x
    x = 171,227.74/433.62
  6. Step 6: Final answer
    x = 394.88

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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.