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Finding the Fourth Proportional to 446.13, 614.92 and 298.71

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Solution

The fourth proportional to 446.13, 614.92 and 298.71 is: 411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.13 : 614.92 = 298.71 : x
  2. Step 2: Convert to fraction form
    446.13/614.92 = 298.71/x
  3. Step 3: Cross multiply
    446.13x = 614.92 × 298.71
  4. Step 4: Simplify right side
    446.13x = 183,682.75
  5. Step 5: Solve for x
    x = 183,682.75/446.13
  6. Step 6: Final answer
    x = 411.72

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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.