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Finding the Fourth Proportional to 516, 712.44 and 360.96

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Solution

The fourth proportional to 516, 712.44 and 360.96 is: 498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    516 : 712.44 = 360.96 : x
  2. Step 2: Convert to fraction form
    516/712.44 = 360.96/x
  3. Step 3: Cross multiply
    516x = 712.44 × 360.96
  4. Step 4: Simplify right side
    516x = 257,162.34
  5. Step 5: Solve for x
    x = 257,162.34/516
  6. Step 6: Final answer
    x = 498.38

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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.