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Finding the Fourth Proportional to 513.23, 706.61 and 451.27

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Solution

The fourth proportional to 513.23, 706.61 and 451.27 is: 621.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.23 : 706.61 = 451.27 : x
  2. Step 2: Convert to fraction form
    513.23/706.61 = 451.27/x
  3. Step 3: Cross multiply
    513.23x = 706.61 × 451.27
  4. Step 4: Simplify right side
    513.23x = 318,866.11
  5. Step 5: Solve for x
    x = 318,866.11/513.23
  6. Step 6: Final answer
    x = 621.29

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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.