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Finding the Fourth Proportional to 335.64, 463.05 and 204.60

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Solution

The fourth proportional to 335.64, 463.05 and 204.60 is: 282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.64 : 463.05 = 204.60 : x
  2. Step 2: Convert to fraction form
    335.64/463.05 = 204.60/x
  3. Step 3: Cross multiply
    335.64x = 463.05 × 204.60
  4. Step 4: Simplify right side
    335.64x = 94,740.03
  5. Step 5: Solve for x
    x = 94,740.03/335.64
  6. Step 6: Final answer
    x = 282.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.