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Finding the Fourth Proportional to 394.72, 589.24 and 313.45

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Solution

The fourth proportional to 394.72, 589.24 and 313.45 is: 467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.72 : 589.24 = 313.45 : x
  2. Step 2: Convert to fraction form
    394.72/589.24 = 313.45/x
  3. Step 3: Cross multiply
    394.72x = 589.24 × 313.45
  4. Step 4: Simplify right side
    394.72x = 184,698.06
  5. Step 5: Solve for x
    x = 184,698.06/394.72
  6. Step 6: Final answer
    x = 467.92

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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.