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Finding the Fourth Proportional to 316.78, 473.26 and 314.98

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Solution

The fourth proportional to 316.78, 473.26 and 314.98 is: 470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.78 : 473.26 = 314.98 : x
  2. Step 2: Convert to fraction form
    316.78/473.26 = 314.98/x
  3. Step 3: Cross multiply
    316.78x = 473.26 × 314.98
  4. Step 4: Simplify right side
    316.78x = 149,067.43
  5. Step 5: Solve for x
    x = 149,067.43/316.78
  6. Step 6: Final answer
    x = 470.57

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