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Finding the Fourth Proportional to 429.12, 592.04 and 281.84

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Solution

The fourth proportional to 429.12, 592.04 and 281.84 is: 388.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.12 : 592.04 = 281.84 : x
  2. Step 2: Convert to fraction form
    429.12/592.04 = 281.84/x
  3. Step 3: Cross multiply
    429.12x = 592.04 × 281.84
  4. Step 4: Simplify right side
    429.12x = 166,856.18
  5. Step 5: Solve for x
    x = 166,856.18/429.12
  6. Step 6: Final answer
    x = 388.83

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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.