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Finding the Fourth Proportional to 455.98, 628.84 and 308.81

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Solution

The fourth proportional to 455.98, 628.84 and 308.81 is: 425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.98 : 628.84 = 308.81 : x
  2. Step 2: Convert to fraction form
    455.98/628.84 = 308.81/x
  3. Step 3: Cross multiply
    455.98x = 628.84 × 308.81
  4. Step 4: Simplify right side
    455.98x = 194,192.08
  5. Step 5: Solve for x
    x = 194,192.08/455.98
  6. Step 6: Final answer
    x = 425.88

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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.