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Finding the Fourth Proportional to 402.21, 554.45 and 314.73

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Solution

The fourth proportional to 402.21, 554.45 and 314.73 is: 433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.21 : 554.45 = 314.73 : x
  2. Step 2: Convert to fraction form
    402.21/554.45 = 314.73/x
  3. Step 3: Cross multiply
    402.21x = 554.45 × 314.73
  4. Step 4: Simplify right side
    402.21x = 174,500.47
  5. Step 5: Solve for x
    x = 174,500.47/402.21
  6. Step 6: Final answer
    x = 433.85

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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.