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Finding the Fourth Proportional to 519.47, 716.87 and 309.74

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Solution

The fourth proportional to 519.47, 716.87 and 309.74 is: 427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.47 : 716.87 = 309.74 : x
  2. Step 2: Convert to fraction form
    519.47/716.87 = 309.74/x
  3. Step 3: Cross multiply
    519.47x = 716.87 × 309.74
  4. Step 4: Simplify right side
    519.47x = 222,038.76
  5. Step 5: Solve for x
    x = 222,038.76/519.47
  6. Step 6: Final answer
    x = 427.44

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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.