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Finding the Fourth Proportional to 429.32, 592.17 and 281.69

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Solution

The fourth proportional to 429.32, 592.17 and 281.69 is: 388.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.32 : 592.17 = 281.69 : x
  2. Step 2: Convert to fraction form
    429.32/592.17 = 281.69/x
  3. Step 3: Cross multiply
    429.32x = 592.17 × 281.69
  4. Step 4: Simplify right side
    429.32x = 166,805.41
  5. Step 5: Solve for x
    x = 166,805.41/429.32
  6. Step 6: Final answer
    x = 388.54

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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.