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Finding the Fourth Proportional to 384.70, 576.43 and 374.58

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Solution

The fourth proportional to 384.70, 576.43 and 374.58 is: 561.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.70 : 576.43 = 374.58 : x
  2. Step 2: Convert to fraction form
    384.70/576.43 = 374.58/x
  3. Step 3: Cross multiply
    384.70x = 576.43 × 374.58
  4. Step 4: Simplify right side
    384.70x = 215,919.15
  5. Step 5: Solve for x
    x = 215,919.15/384.70
  6. Step 6: Final answer
    x = 561.27

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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.