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Finding the Fourth Proportional to 384.64, 576.83 and 307.42

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Solution

The fourth proportional to 384.64, 576.83 and 307.42 is: 461.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.64 : 576.83 = 307.42 : x
  2. Step 2: Convert to fraction form
    384.64/576.83 = 307.42/x
  3. Step 3: Cross multiply
    384.64x = 576.83 × 307.42
  4. Step 4: Simplify right side
    384.64x = 177,327.54
  5. Step 5: Solve for x
    x = 177,327.54/384.64
  6. Step 6: Final answer
    x = 461.02

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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.