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Finding the Fourth Proportional to 409.92, 565.72 and 336.02

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Solution

The fourth proportional to 409.92, 565.72 and 336.02 is: 463.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.92 : 565.72 = 336.02 : x
  2. Step 2: Convert to fraction form
    409.92/565.72 = 336.02/x
  3. Step 3: Cross multiply
    409.92x = 565.72 × 336.02
  4. Step 4: Simplify right side
    409.92x = 190,093.23
  5. Step 5: Solve for x
    x = 190,093.23/409.92
  6. Step 6: Final answer
    x = 463.73

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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.