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Finding the Fourth Proportional to 629.18, 942.02 and 474.62

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Solution

The fourth proportional to 629.18, 942.02 and 474.62 is: 710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.18 : 942.02 = 474.62 : x
  2. Step 2: Convert to fraction form
    629.18/942.02 = 474.62/x
  3. Step 3: Cross multiply
    629.18x = 942.02 × 474.62
  4. Step 4: Simplify right side
    629.18x = 447,101.53
  5. Step 5: Solve for x
    x = 447,101.53/629.18
  6. Step 6: Final answer
    x = 710.61

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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.