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Finding the Fourth Proportional to 394.33, 542.67 and 384.16

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Solution

The fourth proportional to 394.33, 542.67 and 384.16 is: 528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.33 : 542.67 = 384.16 : x
  2. Step 2: Convert to fraction form
    394.33/542.67 = 384.16/x
  3. Step 3: Cross multiply
    394.33x = 542.67 × 384.16
  4. Step 4: Simplify right side
    394.33x = 208,469.39
  5. Step 5: Solve for x
    x = 208,469.39/394.33
  6. Step 6: Final answer
    x = 528.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.