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Finding the Fourth Proportional to 429.36, 591.84 and 281.94

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Solution

The fourth proportional to 429.36, 591.84 and 281.94 is: 388.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.36 : 591.84 = 281.94 : x
  2. Step 2: Convert to fraction form
    429.36/591.84 = 281.94/x
  3. Step 3: Cross multiply
    429.36x = 591.84 × 281.94
  4. Step 4: Simplify right side
    429.36x = 166,863.37
  5. Step 5: Solve for x
    x = 166,863.37/429.36
  6. Step 6: Final answer
    x = 388.63

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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.