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Finding the Fourth Proportional to 391.80, 585.46 and 298.74

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Solution

The fourth proportional to 391.80, 585.46 and 298.74 is: 446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.80 : 585.46 = 298.74 : x
  2. Step 2: Convert to fraction form
    391.80/585.46 = 298.74/x
  3. Step 3: Cross multiply
    391.80x = 585.46 × 298.74
  4. Step 4: Simplify right side
    391.80x = 174,900.29
  5. Step 5: Solve for x
    x = 174,900.29/391.80
  6. Step 6: Final answer
    x = 446.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.