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Finding the Fourth Proportional to 384.45, 576.06 and 374.33

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Solution

The fourth proportional to 384.45, 576.06 and 374.33 is: 560.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.45 : 576.06 = 374.33 : x
  2. Step 2: Convert to fraction form
    384.45/576.06 = 374.33/x
  3. Step 3: Cross multiply
    384.45x = 576.06 × 374.33
  4. Step 4: Simplify right side
    384.45x = 215,636.54
  5. Step 5: Solve for x
    x = 215,636.54/384.45
  6. Step 6: Final answer
    x = 560.90

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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.