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Finding the Fourth Proportional to 644.45, 968.47 and 384.48

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Solution

The fourth proportional to 644.45, 968.47 and 384.48 is: 577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.45 : 968.47 = 384.48 : x
  2. Step 2: Convert to fraction form
    644.45/968.47 = 384.48/x
  3. Step 3: Cross multiply
    644.45x = 968.47 × 384.48
  4. Step 4: Simplify right side
    644.45x = 372,356.38
  5. Step 5: Solve for x
    x = 372,356.38/644.45
  6. Step 6: Final answer
    x = 577.79

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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.