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Finding the Fourth Proportional to 384.66, 576.81 and 153.45

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Solution

The fourth proportional to 384.66, 576.81 and 153.45 is: 230.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.66 : 576.81 = 153.45 : x
  2. Step 2: Convert to fraction form
    384.66/576.81 = 153.45/x
  3. Step 3: Cross multiply
    384.66x = 576.81 × 153.45
  4. Step 4: Simplify right side
    384.66x = 88,511.49
  5. Step 5: Solve for x
    x = 88,511.49/384.66
  6. Step 6: Final answer
    x = 230.10

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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.