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Finding the Fourth Proportional to 952.02, 1,427.36 and 464.67

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Solution

The fourth proportional to 952.02, 1,427.36 and 464.67 is: 696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.02 : 1,427.36 = 464.67 : x
  2. Step 2: Convert to fraction form
    952.02/1,427.36 = 464.67/x
  3. Step 3: Cross multiply
    952.02x = 1,427.36 × 464.67
  4. Step 4: Simplify right side
    952.02x = 663,249.05
  5. Step 5: Solve for x
    x = 663,249.05/952.02
  6. Step 6: Final answer
    x = 696.68

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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.