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Finding the Fourth Proportional to 629.63, 945.05 and 386.63

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Solution

The fourth proportional to 629.63, 945.05 and 386.63 is: 580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.63 : 945.05 = 386.63 : x
  2. Step 2: Convert to fraction form
    629.63/945.05 = 386.63/x
  3. Step 3: Cross multiply
    629.63x = 945.05 × 386.63
  4. Step 4: Simplify right side
    629.63x = 365,386.56
  5. Step 5: Solve for x
    x = 365,386.56/629.63
  6. Step 6: Final answer
    x = 580.32

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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.