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Finding the Fourth Proportional to 952.26, 1,428.10 and 302.82

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Solution

The fourth proportional to 952.26, 1,428.10 and 302.82 is: 454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.26 : 1,428.10 = 302.82 : x
  2. Step 2: Convert to fraction form
    952.26/1,428.10 = 302.82/x
  3. Step 3: Cross multiply
    952.26x = 1,428.10 × 302.82
  4. Step 4: Simplify right side
    952.26x = 432,457.24
  5. Step 5: Solve for x
    x = 432,457.24/952.26
  6. Step 6: Final answer
    x = 454.14

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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.