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Finding the Fourth Proportional to 808.21, 1,212.31 and 345.60

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Solution

The fourth proportional to 808.21, 1,212.31 and 345.60 is: 518.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.21 : 1,212.31 = 345.60 : x
  2. Step 2: Convert to fraction form
    808.21/1,212.31 = 345.60/x
  3. Step 3: Cross multiply
    808.21x = 1,212.31 × 345.60
  4. Step 4: Simplify right side
    808.21x = 418,966.55
  5. Step 5: Solve for x
    x = 418,966.55/808.21
  6. Step 6: Final answer
    x = 518.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.