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Finding the Fourth Proportional to 629.02, 867.72 and 380.20

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Solution

The fourth proportional to 629.02, 867.72 and 380.20 is: 524.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.02 : 867.72 = 380.20 : x
  2. Step 2: Convert to fraction form
    629.02/867.72 = 380.20/x
  3. Step 3: Cross multiply
    629.02x = 867.72 × 380.20
  4. Step 4: Simplify right side
    629.02x = 329,907.14
  5. Step 5: Solve for x
    x = 329,907.14/629.02
  6. Step 6: Final answer
    x = 524.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.