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Finding the Fourth Proportional to 519.51, 716.95 and 309.62

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Solution

The fourth proportional to 519.51, 716.95 and 309.62 is: 427.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.51 : 716.95 = 309.62 : x
  2. Step 2: Convert to fraction form
    519.51/716.95 = 309.62/x
  3. Step 3: Cross multiply
    519.51x = 716.95 × 309.62
  4. Step 4: Simplify right side
    519.51x = 221,984.24
  5. Step 5: Solve for x
    x = 221,984.24/519.51
  6. Step 6: Final answer
    x = 427.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.