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Finding the Fourth Proportional to 957.28, 1,436.10 and 380.20

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Solution

The fourth proportional to 957.28, 1,436.10 and 380.20 is: 570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.28 : 1,436.10 = 380.20 : x
  2. Step 2: Convert to fraction form
    957.28/1,436.10 = 380.20/x
  3. Step 3: Cross multiply
    957.28x = 1,436.10 × 380.20
  4. Step 4: Simplify right side
    957.28x = 546,005.22
  5. Step 5: Solve for x
    x = 546,005.22/957.28
  6. Step 6: Final answer
    x = 570.37

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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.