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Finding the Fourth Proportional to 518.56, 713.46 and 471.94

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Solution

The fourth proportional to 518.56, 713.46 and 471.94 is: 649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.56 : 713.46 = 471.94 : x
  2. Step 2: Convert to fraction form
    518.56/713.46 = 471.94/x
  3. Step 3: Cross multiply
    518.56x = 713.46 × 471.94
  4. Step 4: Simplify right side
    518.56x = 336,710.31
  5. Step 5: Solve for x
    x = 336,710.31/518.56
  6. Step 6: Final answer
    x = 649.32

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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.