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Finding the Fourth Proportional to 316.74, 472.90 and 273.36

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Solution

The fourth proportional to 316.74, 472.90 and 273.36 is: 408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.74 : 472.90 = 273.36 : x
  2. Step 2: Convert to fraction form
    316.74/472.90 = 273.36/x
  3. Step 3: Cross multiply
    316.74x = 472.90 × 273.36
  4. Step 4: Simplify right side
    316.74x = 129,271.26
  5. Step 5: Solve for x
    x = 129,271.26/316.74
  6. Step 6: Final answer
    x = 408.13

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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.