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Finding the Fourth Proportional to 315.62, 435.42 and 205.28

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Solution

The fourth proportional to 315.62, 435.42 and 205.28 is: 283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.62 : 435.42 = 205.28 : x
  2. Step 2: Convert to fraction form
    315.62/435.42 = 205.28/x
  3. Step 3: Cross multiply
    315.62x = 435.42 × 205.28
  4. Step 4: Simplify right side
    315.62x = 89,383.02
  5. Step 5: Solve for x
    x = 89,383.02/315.62
  6. Step 6: Final answer
    x = 283.20

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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.