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Finding the Fourth Proportional to 650.12, 973.87 and 302.98

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Solution

The fourth proportional to 650.12, 973.87 and 302.98 is: 453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.12 : 973.87 = 302.98 : x
  2. Step 2: Convert to fraction form
    650.12/973.87 = 302.98/x
  3. Step 3: Cross multiply
    650.12x = 973.87 × 302.98
  4. Step 4: Simplify right side
    650.12x = 295,058.26
  5. Step 5: Solve for x
    x = 295,058.26/650.12
  6. Step 6: Final answer
    x = 453.86

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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.