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Finding the Fourth Proportional to 314.76, 433.94 and 204.24

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Solution

The fourth proportional to 314.76, 433.94 and 204.24 is: 281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.76 : 433.94 = 204.24 : x
  2. Step 2: Convert to fraction form
    314.76/433.94 = 204.24/x
  3. Step 3: Cross multiply
    314.76x = 433.94 × 204.24
  4. Step 4: Simplify right side
    314.76x = 88,627.91
  5. Step 5: Solve for x
    x = 88,627.91/314.76
  6. Step 6: Final answer
    x = 281.57

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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.