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Finding the Fourth Proportional to 574.02, 857.14 and 450.90

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Solution

The fourth proportional to 574.02, 857.14 and 450.90 is: 673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.02 : 857.14 = 450.90 : x
  2. Step 2: Convert to fraction form
    574.02/857.14 = 450.90/x
  3. Step 3: Cross multiply
    574.02x = 857.14 × 450.90
  4. Step 4: Simplify right side
    574.02x = 386,484.43
  5. Step 5: Solve for x
    x = 386,484.43/574.02
  6. Step 6: Final answer
    x = 673.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.