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Finding the Fourth Proportional to 957.62, 1,436.64 and 299.48

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Solution

The fourth proportional to 957.62, 1,436.64 and 299.48 is: 449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.62 : 1,436.64 = 299.48 : x
  2. Step 2: Convert to fraction form
    957.62/1,436.64 = 299.48/x
  3. Step 3: Cross multiply
    957.62x = 1,436.64 × 299.48
  4. Step 4: Simplify right side
    957.62x = 430,244.72
  5. Step 5: Solve for x
    x = 430,244.72/957.62
  6. Step 6: Final answer
    x = 449.28

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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.