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Finding the Fourth Proportional to 650.24, 973.44 and 495.68

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Solution

The fourth proportional to 650.24, 973.44 and 495.68 is: 742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.24 : 973.44 = 495.68 : x
  2. Step 2: Convert to fraction form
    650.24/973.44 = 495.68/x
  3. Step 3: Cross multiply
    650.24x = 973.44 × 495.68
  4. Step 4: Simplify right side
    650.24x = 482,514.74
  5. Step 5: Solve for x
    x = 482,514.74/650.24
  6. Step 6: Final answer
    x = 742.06

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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.