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Finding the Fourth Proportional to 433.50, 598.71 and 286.78

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Solution

The fourth proportional to 433.50, 598.71 and 286.78 is: 396.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.50 : 598.71 = 286.78 : x
  2. Step 2: Convert to fraction form
    433.50/598.71 = 286.78/x
  3. Step 3: Cross multiply
    433.50x = 598.71 × 286.78
  4. Step 4: Simplify right side
    433.50x = 171,698.05
  5. Step 5: Solve for x
    x = 171,698.05/433.50
  6. Step 6: Final answer
    x = 396.07

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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.