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Finding the Fourth Proportional to 435.72, 648.69 and 433.56

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Solution

The fourth proportional to 435.72, 648.69 and 433.56 is: 645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.72 : 648.69 = 433.56 : x
  2. Step 2: Convert to fraction form
    435.72/648.69 = 433.56/x
  3. Step 3: Cross multiply
    435.72x = 648.69 × 433.56
  4. Step 4: Simplify right side
    435.72x = 281,246.04
  5. Step 5: Solve for x
    x = 281,246.04/435.72
  6. Step 6: Final answer
    x = 645.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.