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Finding the Fourth Proportional to 313.26, 467.68 and 264.66

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Solution

The fourth proportional to 313.26, 467.68 and 264.66 is: 395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.26 : 467.68 = 264.66 : x
  2. Step 2: Convert to fraction form
    313.26/467.68 = 264.66/x
  3. Step 3: Cross multiply
    313.26x = 467.68 × 264.66
  4. Step 4: Simplify right side
    313.26x = 123,776.19
  5. Step 5: Solve for x
    x = 123,776.19/313.26
  6. Step 6: Final answer
    x = 395.12

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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.