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Finding the Fourth Proportional to 520.02, 717.74 and 343.01

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Solution

The fourth proportional to 520.02, 717.74 and 343.01 is: 473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.02 : 717.74 = 343.01 : x
  2. Step 2: Convert to fraction form
    520.02/717.74 = 343.01/x
  3. Step 3: Cross multiply
    520.02x = 717.74 × 343.01
  4. Step 4: Simplify right side
    520.02x = 246,193.27
  5. Step 5: Solve for x
    x = 246,193.27/520.02
  6. Step 6: Final answer
    x = 473.43

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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.