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Finding the Fourth Proportional to 335.58, 463.01 and 230.46

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Solution

The fourth proportional to 335.58, 463.01 and 230.46 is: 317.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.58 : 463.01 = 230.46 : x
  2. Step 2: Convert to fraction form
    335.58/463.01 = 230.46/x
  3. Step 3: Cross multiply
    335.58x = 463.01 × 230.46
  4. Step 4: Simplify right side
    335.58x = 106,704.13
  5. Step 5: Solve for x
    x = 106,704.13/335.58
  6. Step 6: Final answer
    x = 317.97

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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.