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Finding the Fourth Proportional to 433.22, 653.97 and 430.79

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Solution

The fourth proportional to 433.22, 653.97 and 430.79 is: 650.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.22 : 653.97 = 430.79 : x
  2. Step 2: Convert to fraction form
    433.22/653.97 = 430.79/x
  3. Step 3: Cross multiply
    433.22x = 653.97 × 430.79
  4. Step 4: Simplify right side
    433.22x = 281,722.08
  5. Step 5: Solve for x
    x = 281,722.08/433.22
  6. Step 6: Final answer
    x = 650.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.