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Finding the Fourth Proportional to 433.26, 645.72 and 432.59

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Solution

The fourth proportional to 433.26, 645.72 and 432.59 is: 644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.26 : 645.72 = 432.59 : x
  2. Step 2: Convert to fraction form
    433.26/645.72 = 432.59/x
  3. Step 3: Cross multiply
    433.26x = 645.72 × 432.59
  4. Step 4: Simplify right side
    433.26x = 279,328.79
  5. Step 5: Solve for x
    x = 279,328.79/433.26
  6. Step 6: Final answer
    x = 644.71

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