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Finding the Fourth Proportional to 519.14, 716.57 and 309.47

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Solution

The fourth proportional to 519.14, 716.57 and 309.47 is: 427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.14 : 716.57 = 309.47 : x
  2. Step 2: Convert to fraction form
    519.14/716.57 = 309.47/x
  3. Step 3: Cross multiply
    519.14x = 716.57 × 309.47
  4. Step 4: Simplify right side
    519.14x = 221,754.11
  5. Step 5: Solve for x
    x = 221,754.11/519.14
  6. Step 6: Final answer
    x = 427.15

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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.