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Finding the Fourth Proportional to 578.05, 867.08 and 384.31

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Solution

The fourth proportional to 578.05, 867.08 and 384.31 is: 576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.05 : 867.08 = 384.31 : x
  2. Step 2: Convert to fraction form
    578.05/867.08 = 384.31/x
  3. Step 3: Cross multiply
    578.05x = 867.08 × 384.31
  4. Step 4: Simplify right side
    578.05x = 333,227.51
  5. Step 5: Solve for x
    x = 333,227.51/578.05
  6. Step 6: Final answer
    x = 576.47

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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.