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Finding the Fourth Proportional to 514.20, 709.16 and 336.96

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Solution

The fourth proportional to 514.20, 709.16 and 336.96 is: 464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.20 : 709.16 = 336.96 : x
  2. Step 2: Convert to fraction form
    514.20/709.16 = 336.96/x
  3. Step 3: Cross multiply
    514.20x = 709.16 × 336.96
  4. Step 4: Simplify right side
    514.20x = 238,956.87
  5. Step 5: Solve for x
    x = 238,956.87/514.20
  6. Step 6: Final answer
    x = 464.72

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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.