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Finding the Fourth Proportional to 519.76, 716.88 and 345.34

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Solution

The fourth proportional to 519.76, 716.88 and 345.34 is: 476.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.76 : 716.88 = 345.34 : x
  2. Step 2: Convert to fraction form
    519.76/716.88 = 345.34/x
  3. Step 3: Cross multiply
    519.76x = 716.88 × 345.34
  4. Step 4: Simplify right side
    519.76x = 247,567.34
  5. Step 5: Solve for x
    x = 247,567.34/519.76
  6. Step 6: Final answer
    x = 476.31

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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.