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Finding the Fourth Proportional to 458.03, 682.93 and 449.83

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Solution

The fourth proportional to 458.03, 682.93 and 449.83 is: 670.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.03 : 682.93 = 449.83 : x
  2. Step 2: Convert to fraction form
    458.03/682.93 = 449.83/x
  3. Step 3: Cross multiply
    458.03x = 682.93 × 449.83
  4. Step 4: Simplify right side
    458.03x = 307,202.40
  5. Step 5: Solve for x
    x = 307,202.40/458.03
  6. Step 6: Final answer
    x = 670.70

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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.