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Finding the Fourth Proportional to 459.92, 635.10 and 343.28

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Solution

The fourth proportional to 459.92, 635.10 and 343.28 is: 474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.92 : 635.10 = 343.28 : x
  2. Step 2: Convert to fraction form
    459.92/635.10 = 343.28/x
  3. Step 3: Cross multiply
    459.92x = 635.10 × 343.28
  4. Step 4: Simplify right side
    459.92x = 218,017.13
  5. Step 5: Solve for x
    x = 218,017.13/459.92
  6. Step 6: Final answer
    x = 474.03

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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.