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Finding the Fourth Proportional to 456.30, 629.64 and 257.11

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Solution

The fourth proportional to 456.30, 629.64 and 257.11 is: 354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.30 : 629.64 = 257.11 : x
  2. Step 2: Convert to fraction form
    456.30/629.64 = 257.11/x
  3. Step 3: Cross multiply
    456.30x = 629.64 × 257.11
  4. Step 4: Simplify right side
    456.30x = 161,885.17
  5. Step 5: Solve for x
    x = 161,885.17/456.30
  6. Step 6: Final answer
    x = 354.78

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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.