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Finding the Fourth Proportional to 384.75, 576.45 and 307.80

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Solution

The fourth proportional to 384.75, 576.45 and 307.80 is: 461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.75 : 576.45 = 307.80 : x
  2. Step 2: Convert to fraction form
    384.75/576.45 = 307.80/x
  3. Step 3: Cross multiply
    384.75x = 576.45 × 307.80
  4. Step 4: Simplify right side
    384.75x = 177,431.31
  5. Step 5: Solve for x
    x = 177,431.31/384.75
  6. Step 6: Final answer
    x = 461.16

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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.