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Finding the Fourth Proportional to 316.71, 477.42 and 289.37

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Solution

The fourth proportional to 316.71, 477.42 and 289.37 is: 436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.71 : 477.42 = 289.37 : x
  2. Step 2: Convert to fraction form
    316.71/477.42 = 289.37/x
  3. Step 3: Cross multiply
    316.71x = 477.42 × 289.37
  4. Step 4: Simplify right side
    316.71x = 138,151.03
  5. Step 5: Solve for x
    x = 138,151.03/316.71
  6. Step 6: Final answer
    x = 436.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.