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Finding the Fourth Proportional to 314.53, 433.90 and 204.04

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Solution

The fourth proportional to 314.53, 433.90 and 204.04 is: 281.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.53 : 433.90 = 204.04 : x
  2. Step 2: Convert to fraction form
    314.53/433.90 = 204.04/x
  3. Step 3: Cross multiply
    314.53x = 433.90 × 204.04
  4. Step 4: Simplify right side
    314.53x = 88,532.96
  5. Step 5: Solve for x
    x = 88,532.96/314.53
  6. Step 6: Final answer
    x = 281.48

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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.