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Finding the Fourth Proportional to 316.50, 437.88 and 309.56

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Solution

The fourth proportional to 316.50, 437.88 and 309.56 is: 428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.50 : 437.88 = 309.56 : x
  2. Step 2: Convert to fraction form
    316.50/437.88 = 309.56/x
  3. Step 3: Cross multiply
    316.50x = 437.88 × 309.56
  4. Step 4: Simplify right side
    316.50x = 135,550.13
  5. Step 5: Solve for x
    x = 135,550.13/316.50
  6. Step 6: Final answer
    x = 428.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.