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Finding the Fourth Proportional to 433.02, 648.57 and 334.81

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Solution

The fourth proportional to 433.02, 648.57 and 334.81 is: 501.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.02 : 648.57 = 334.81 : x
  2. Step 2: Convert to fraction form
    433.02/648.57 = 334.81/x
  3. Step 3: Cross multiply
    433.02x = 648.57 × 334.81
  4. Step 4: Simplify right side
    433.02x = 217,142.80
  5. Step 5: Solve for x
    x = 217,142.80/433.02
  6. Step 6: Final answer
    x = 501.47

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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.