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Finding the Fourth Proportional to 316.28, 471.09 and 296.28

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Solution

The fourth proportional to 316.28, 471.09 and 296.28 is: 441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.28 : 471.09 = 296.28 : x
  2. Step 2: Convert to fraction form
    316.28/471.09 = 296.28/x
  3. Step 3: Cross multiply
    316.28x = 471.09 × 296.28
  4. Step 4: Simplify right side
    316.28x = 139,574.55
  5. Step 5: Solve for x
    x = 139,574.55/316.28
  6. Step 6: Final answer
    x = 441.30

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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.