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Finding the Fourth Proportional to 335.82, 463.40 and 203.04

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Solution

The fourth proportional to 335.82, 463.40 and 203.04 is: 280.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.82 : 463.40 = 203.04 : x
  2. Step 2: Convert to fraction form
    335.82/463.40 = 203.04/x
  3. Step 3: Cross multiply
    335.82x = 463.40 × 203.04
  4. Step 4: Simplify right side
    335.82x = 94,088.74
  5. Step 5: Solve for x
    x = 94,088.74/335.82
  6. Step 6: Final answer
    x = 280.18

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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.