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Finding the Fourth Proportional to 621.25, 857.34 and 345.25

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Solution

The fourth proportional to 621.25, 857.34 and 345.25 is: 476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.25 : 857.34 = 345.25 : x
  2. Step 2: Convert to fraction form
    621.25/857.34 = 345.25/x
  3. Step 3: Cross multiply
    621.25x = 857.34 × 345.25
  4. Step 4: Simplify right side
    621.25x = 295,996.64
  5. Step 5: Solve for x
    x = 295,996.64/621.25
  6. Step 6: Final answer
    x = 476.45

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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.