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Finding the Fourth Proportional to 384.40, 576.40 and 153.11

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Solution

The fourth proportional to 384.40, 576.40 and 153.11 is: 229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.40 : 576.40 = 153.11 : x
  2. Step 2: Convert to fraction form
    384.40/576.40 = 153.11/x
  3. Step 3: Cross multiply
    384.40x = 576.40 × 153.11
  4. Step 4: Simplify right side
    384.40x = 88,250.71
  5. Step 5: Solve for x
    x = 88,250.71/384.40
  6. Step 6: Final answer
    x = 229.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.