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Finding the Fourth Proportional to 957.70, 1,437.26 and 341.42

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Solution

The fourth proportional to 957.70, 1,437.26 and 341.42 is: 512.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.70 : 1,437.26 = 341.42 : x
  2. Step 2: Convert to fraction form
    957.70/1,437.26 = 341.42/x
  3. Step 3: Cross multiply
    957.70x = 1,437.26 × 341.42
  4. Step 4: Simplify right side
    957.70x = 490,709.31
  5. Step 5: Solve for x
    x = 490,709.31/957.70
  6. Step 6: Final answer
    x = 512.38

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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.