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Finding the Fourth Proportional to 516.86, 713.39 and 320.25

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Solution

The fourth proportional to 516.86, 713.39 and 320.25 is: 442.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.86 : 713.39 = 320.25 : x
  2. Step 2: Convert to fraction form
    516.86/713.39 = 320.25/x
  3. Step 3: Cross multiply
    516.86x = 713.39 × 320.25
  4. Step 4: Simplify right side
    516.86x = 228,461.55
  5. Step 5: Solve for x
    x = 228,461.55/516.86
  6. Step 6: Final answer
    x = 442.02

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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.