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Finding the Fourth Proportional to 644.71, 967.52 and 384.55

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Solution

The fourth proportional to 644.71, 967.52 and 384.55 is: 577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.71 : 967.52 = 384.55 : x
  2. Step 2: Convert to fraction form
    644.71/967.52 = 384.55/x
  3. Step 3: Cross multiply
    644.71x = 967.52 × 384.55
  4. Step 4: Simplify right side
    644.71x = 372,057.28
  5. Step 5: Solve for x
    x = 372,057.28/644.71
  6. Step 6: Final answer
    x = 577.09

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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.