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Finding the Fourth Proportional to 629.42, 942.35 and 474.85

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Solution

The fourth proportional to 629.42, 942.35 and 474.85 is: 710.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.42 : 942.35 = 474.85 : x
  2. Step 2: Convert to fraction form
    629.42/942.35 = 474.85/x
  3. Step 3: Cross multiply
    629.42x = 942.35 × 474.85
  4. Step 4: Simplify right side
    629.42x = 447,470.17
  5. Step 5: Solve for x
    x = 447,470.17/629.42
  6. Step 6: Final answer
    x = 710.93

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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.