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Finding the Fourth Proportional to 516.50, 712.77 and 309.50

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Solution

The fourth proportional to 516.50, 712.77 and 309.50 is: 427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.50 : 712.77 = 309.50 : x
  2. Step 2: Convert to fraction form
    516.50/712.77 = 309.50/x
  3. Step 3: Cross multiply
    516.50x = 712.77 × 309.50
  4. Step 4: Simplify right side
    516.50x = 220,602.32
  5. Step 5: Solve for x
    x = 220,602.32/516.50
  6. Step 6: Final answer
    x = 427.11

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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.