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Finding the Fourth Proportional to 519.34, 716.63 and 309.53

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Solution

The fourth proportional to 519.34, 716.63 and 309.53 is: 427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.34 : 716.63 = 309.53 : x
  2. Step 2: Convert to fraction form
    519.34/716.63 = 309.53/x
  3. Step 3: Cross multiply
    519.34x = 716.63 × 309.53
  4. Step 4: Simplify right side
    519.34x = 221,813.35
  5. Step 5: Solve for x
    x = 221,813.35/519.34
  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.