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Finding the Fourth Proportional to 433.85, 598.96 and 286.83

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Solution

The fourth proportional to 433.85, 598.96 and 286.83 is: 395.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.85 : 598.96 = 286.83 : x
  2. Step 2: Convert to fraction form
    433.85/598.96 = 286.83/x
  3. Step 3: Cross multiply
    433.85x = 598.96 × 286.83
  4. Step 4: Simplify right side
    433.85x = 171,800.06
  5. Step 5: Solve for x
    x = 171,800.06/433.85
  6. Step 6: Final answer
    x = 395.99

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Why These Related Problems?

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