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Finding the Fourth Proportional to 621.69, 857.89 and 356.14

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Solution

The fourth proportional to 621.69, 857.89 and 356.14 is: 491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.69 : 857.89 = 356.14 : x
  2. Step 2: Convert to fraction form
    621.69/857.89 = 356.14/x
  3. Step 3: Cross multiply
    621.69x = 857.89 × 356.14
  4. Step 4: Simplify right side
    621.69x = 305,528.94
  5. Step 5: Solve for x
    x = 305,528.94/621.69
  6. Step 6: Final answer
    x = 491.45

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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.