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Finding the Fourth Proportional to 490.64, 735.96 and 464.72

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Solution

The fourth proportional to 490.64, 735.96 and 464.72 is: 697.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.64 : 735.96 = 464.72 : x
  2. Step 2: Convert to fraction form
    490.64/735.96 = 464.72/x
  3. Step 3: Cross multiply
    490.64x = 735.96 × 464.72
  4. Step 4: Simplify right side
    490.64x = 342,015.33
  5. Step 5: Solve for x
    x = 342,015.33/490.64
  6. Step 6: Final answer
    x = 697.08

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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.