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Finding the Fourth Proportional to 412.49, 565.79 and 363.29

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Solution

The fourth proportional to 412.49, 565.79 and 363.29 is: 498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.49 : 565.79 = 363.29 : x
  2. Step 2: Convert to fraction form
    412.49/565.79 = 363.29/x
  3. Step 3: Cross multiply
    412.49x = 565.79 × 363.29
  4. Step 4: Simplify right side
    412.49x = 205,541.20
  5. Step 5: Solve for x
    x = 205,541.20/412.49
  6. Step 6: Final answer
    x = 498.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.