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Finding the Fourth Proportional to 429.26, 592.74 and 298.22

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Solution

The fourth proportional to 429.26, 592.74 and 298.22 is: 411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.26 : 592.74 = 298.22 : x
  2. Step 2: Convert to fraction form
    429.26/592.74 = 298.22/x
  3. Step 3: Cross multiply
    429.26x = 592.74 × 298.22
  4. Step 4: Simplify right side
    429.26x = 176,766.92
  5. Step 5: Solve for x
    x = 176,766.92/429.26
  6. Step 6: Final answer
    x = 411.79

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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.