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Finding the Fourth Proportional to 313.61, 467.74 and 295.79

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Solution

The fourth proportional to 313.61, 467.74 and 295.79 is: 441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.61 : 467.74 = 295.79 : x
  2. Step 2: Convert to fraction form
    313.61/467.74 = 295.79/x
  3. Step 3: Cross multiply
    313.61x = 467.74 × 295.79
  4. Step 4: Simplify right side
    313.61x = 138,350.85
  5. Step 5: Solve for x
    x = 138,350.85/313.61
  6. Step 6: Final answer
    x = 441.16

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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.