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Finding the Fourth Proportional to 520.72, 718.90 and 343.96

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Solution

The fourth proportional to 520.72, 718.90 and 343.96 is: 474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.72 : 718.90 = 343.96 : x
  2. Step 2: Convert to fraction form
    520.72/718.90 = 343.96/x
  3. Step 3: Cross multiply
    520.72x = 718.90 × 343.96
  4. Step 4: Simplify right side
    520.72x = 247,272.84
  5. Step 5: Solve for x
    x = 247,272.84/520.72
  6. Step 6: Final answer
    x = 474.87

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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.