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Finding the Fourth Proportional to 433.46, 648.90 and 286.94

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Solution

The fourth proportional to 433.46, 648.90 and 286.94 is: 429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.46 : 648.90 = 286.94 : x
  2. Step 2: Convert to fraction form
    433.46/648.90 = 286.94/x
  3. Step 3: Cross multiply
    433.46x = 648.90 × 286.94
  4. Step 4: Simplify right side
    433.46x = 186,196.99
  5. Step 5: Solve for x
    x = 186,196.99/433.46
  6. Step 6: Final answer
    x = 429.56

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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.