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Finding the Fourth Proportional to 394.48, 592.44 and 313.84

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Solution

The fourth proportional to 394.48, 592.44 and 313.84 is: 471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.48 : 592.44 = 313.84 : x
  2. Step 2: Convert to fraction form
    394.48/592.44 = 313.84/x
  3. Step 3: Cross multiply
    394.48x = 592.44 × 313.84
  4. Step 4: Simplify right side
    394.48x = 185,931.37
  5. Step 5: Solve for x
    x = 185,931.37/394.48
  6. Step 6: Final answer
    x = 471.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.