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Finding the Fourth Proportional to 433.38, 649.78 and 286.95

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Solution

The fourth proportional to 433.38, 649.78 and 286.95 is: 430.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.38 : 649.78 = 286.95 : x
  2. Step 2: Convert to fraction form
    433.38/649.78 = 286.95/x
  3. Step 3: Cross multiply
    433.38x = 649.78 × 286.95
  4. Step 4: Simplify right side
    433.38x = 186,454.37
  5. Step 5: Solve for x
    x = 186,454.37/433.38
  6. Step 6: Final answer
    x = 430.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.