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Finding the Fourth Proportional to 490.32, 735.60 and 432.96

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Solution

The fourth proportional to 490.32, 735.60 and 432.96 is: 649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.32 : 735.60 = 432.96 : x
  2. Step 2: Convert to fraction form
    490.32/735.60 = 432.96/x
  3. Step 3: Cross multiply
    490.32x = 735.60 × 432.96
  4. Step 4: Simplify right side
    490.32x = 318,485.38
  5. Step 5: Solve for x
    x = 318,485.38/490.32
  6. Step 6: Final answer
    x = 649.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.