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Finding the Fourth Proportional to 429.24, 591.49 and 281.61

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Solution

The fourth proportional to 429.24, 591.49 and 281.61 is: 388.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.24 : 591.49 = 281.61 : x
  2. Step 2: Convert to fraction form
    429.24/591.49 = 281.61/x
  3. Step 3: Cross multiply
    429.24x = 591.49 × 281.61
  4. Step 4: Simplify right side
    429.24x = 166,569.50
  5. Step 5: Solve for x
    x = 166,569.50/429.24
  6. Step 6: Final answer
    x = 388.06

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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.