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Finding the Fourth Proportional to 519.47, 716.86 and 309.75

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Solution

The fourth proportional to 519.47, 716.86 and 309.75 is: 427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.47 : 716.86 = 309.75 : x
  2. Step 2: Convert to fraction form
    519.47/716.86 = 309.75/x
  3. Step 3: Cross multiply
    519.47x = 716.86 × 309.75
  4. Step 4: Simplify right side
    519.47x = 222,047.39
  5. Step 5: Solve for x
    x = 222,047.39/519.47
  6. Step 6: Final answer
    x = 427.45

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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.