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Finding the Fourth Proportional to 335.16, 463.23 and 295.52

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Solution

The fourth proportional to 335.16, 463.23 and 295.52 is: 408.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.16 : 463.23 = 295.52 : x
  2. Step 2: Convert to fraction form
    335.16/463.23 = 295.52/x
  3. Step 3: Cross multiply
    335.16x = 463.23 × 295.52
  4. Step 4: Simplify right side
    335.16x = 136,891.41
  5. Step 5: Solve for x
    x = 136,891.41/335.16
  6. Step 6: Final answer
    x = 408.44

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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.