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Finding the Fourth Proportional to 957.64, 1,436.46 and 308.29

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Solution

The fourth proportional to 957.64, 1,436.46 and 308.29 is: 462.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.64 : 1,436.46 = 308.29 : x
  2. Step 2: Convert to fraction form
    957.64/1,436.46 = 308.29/x
  3. Step 3: Cross multiply
    957.64x = 1,436.46 × 308.29
  4. Step 4: Simplify right side
    957.64x = 442,846.25
  5. Step 5: Solve for x
    x = 442,846.25/957.64
  6. Step 6: Final answer
    x = 462.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.