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Finding the Fourth Proportional to 431.17, 594.69 and 298.61

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Solution

The fourth proportional to 431.17, 594.69 and 298.61 is: 411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.17 : 594.69 = 298.61 : x
  2. Step 2: Convert to fraction form
    431.17/594.69 = 298.61/x
  3. Step 3: Cross multiply
    431.17x = 594.69 × 298.61
  4. Step 4: Simplify right side
    431.17x = 177,580.38
  5. Step 5: Solve for x
    x = 177,580.38/431.17
  6. Step 6: Final answer
    x = 411.86

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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.