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Finding the Fourth Proportional to 629.06, 867.86 and 463.67

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Solution

The fourth proportional to 629.06, 867.86 and 463.67 is: 639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.06 : 867.86 = 463.67 : x
  2. Step 2: Convert to fraction form
    629.06/867.86 = 463.67/x
  3. Step 3: Cross multiply
    629.06x = 867.86 × 463.67
  4. Step 4: Simplify right side
    629.06x = 402,396.31
  5. Step 5: Solve for x
    x = 402,396.31/629.06
  6. Step 6: Final answer
    x = 639.68

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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.