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Finding the Fourth Proportional to 490.88, 675.24 and 470.90

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Solution

The fourth proportional to 490.88, 675.24 and 470.90 is: 647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.88 : 675.24 = 470.90 : x
  2. Step 2: Convert to fraction form
    490.88/675.24 = 470.90/x
  3. Step 3: Cross multiply
    490.88x = 675.24 × 470.90
  4. Step 4: Simplify right side
    490.88x = 317,967.14
  5. Step 5: Solve for x
    x = 317,967.14/490.88
  6. Step 6: Final answer
    x = 647.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.