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Finding the Fourth Proportional to 520.76, 718.26 and 343.36

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Solution

The fourth proportional to 520.76, 718.26 and 343.36 is: 473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.76 : 718.26 = 343.36 : x
  2. Step 2: Convert to fraction form
    520.76/718.26 = 343.36/x
  3. Step 3: Cross multiply
    520.76x = 718.26 × 343.36
  4. Step 4: Simplify right side
    520.76x = 246,621.75
  5. Step 5: Solve for x
    x = 246,621.75/520.76
  6. Step 6: Final answer
    x = 473.58

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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.