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Finding the Fourth Proportional to 384.45, 532.79 and 377.16

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Solution

The fourth proportional to 384.45, 532.79 and 377.16 is: 522.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.45 : 532.79 = 377.16 : x
  2. Step 2: Convert to fraction form
    384.45/532.79 = 377.16/x
  3. Step 3: Cross multiply
    384.45x = 532.79 × 377.16
  4. Step 4: Simplify right side
    384.45x = 200,945.19
  5. Step 5: Solve for x
    x = 200,945.19/384.45
  6. Step 6: Final answer
    x = 522.68

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.