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Finding the Fourth Proportional to 629.02, 867.90 and 463.36

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Solution

The fourth proportional to 629.02, 867.90 and 463.36 is: 639.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.02 : 867.90 = 463.36 : x
  2. Step 2: Convert to fraction form
    629.02/867.90 = 463.36/x
  3. Step 3: Cross multiply
    629.02x = 867.90 × 463.36
  4. Step 4: Simplify right side
    629.02x = 402,150.14
  5. Step 5: Solve for x
    x = 402,150.14/629.02
  6. Step 6: Final answer
    x = 639.33

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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.