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Finding the Fourth Proportional to 952.16, 1,428.42 and 302.99

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Solution

The fourth proportional to 952.16, 1,428.42 and 302.99 is: 454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.16 : 1,428.42 = 302.99 : x
  2. Step 2: Convert to fraction form
    952.16/1,428.42 = 302.99/x
  3. Step 3: Cross multiply
    952.16x = 1,428.42 × 302.99
  4. Step 4: Simplify right side
    952.16x = 432,796.98
  5. Step 5: Solve for x
    x = 432,796.98/952.16
  6. Step 6: Final answer
    x = 454.54

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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.