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Finding the Fourth Proportional to 316, 471.83 and 270.37

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Solution

The fourth proportional to 316, 471.83 and 270.37 is: 403.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    316 : 471.83 = 270.37 : x
  2. Step 2: Convert to fraction form
    316/471.83 = 270.37/x
  3. Step 3: Cross multiply
    316x = 471.83 × 270.37
  4. Step 4: Simplify right side
    316x = 127,568.68
  5. Step 5: Solve for x
    x = 127,568.68/316
  6. Step 6: Final answer
    x = 403.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.