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Finding the Fourth Proportional to 454.34, 626.90 and 314.24

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Solution

The fourth proportional to 454.34, 626.90 and 314.24 is: 433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.34 : 626.90 = 314.24 : x
  2. Step 2: Convert to fraction form
    454.34/626.90 = 314.24/x
  3. Step 3: Cross multiply
    454.34x = 626.90 × 314.24
  4. Step 4: Simplify right side
    454.34x = 196,997.06
  5. Step 5: Solve for x
    x = 196,997.06/454.34
  6. Step 6: Final answer
    x = 433.59

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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.