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Finding the Fourth Proportional to 515.34, 771.89 and 298.38

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Solution

The fourth proportional to 515.34, 771.89 and 298.38 is: 446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.34 : 771.89 = 298.38 : x
  2. Step 2: Convert to fraction form
    515.34/771.89 = 298.38/x
  3. Step 3: Cross multiply
    515.34x = 771.89 × 298.38
  4. Step 4: Simplify right side
    515.34x = 230,316.54
  5. Step 5: Solve for x
    x = 230,316.54/515.34
  6. Step 6: Final answer
    x = 446.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.