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Finding the Fourth Proportional to 470.37, 704.46 and 430.29

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Solution

The fourth proportional to 470.37, 704.46 and 430.29 is: 644.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.37 : 704.46 = 430.29 : x
  2. Step 2: Convert to fraction form
    470.37/704.46 = 430.29/x
  3. Step 3: Cross multiply
    470.37x = 704.46 × 430.29
  4. Step 4: Simplify right side
    470.37x = 303,122.09
  5. Step 5: Solve for x
    x = 303,122.09/470.37
  6. Step 6: Final answer
    x = 644.43

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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.