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Finding the Fourth Proportional to 515.12, 710.82 and 340.44

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Solution

The fourth proportional to 515.12, 710.82 and 340.44 is: 469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.12 : 710.82 = 340.44 : x
  2. Step 2: Convert to fraction form
    515.12/710.82 = 340.44/x
  3. Step 3: Cross multiply
    515.12x = 710.82 × 340.44
  4. Step 4: Simplify right side
    515.12x = 241,991.56
  5. Step 5: Solve for x
    x = 241,991.56/515.12
  6. Step 6: Final answer
    x = 469.78

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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.