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Finding the Fourth Proportional to 456.30, 629.63 and 257.14

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Solution

The fourth proportional to 456.30, 629.63 and 257.14 is: 354.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.30 : 629.63 = 257.14 : x
  2. Step 2: Convert to fraction form
    456.30/629.63 = 257.14/x
  3. Step 3: Cross multiply
    456.30x = 629.63 × 257.14
  4. Step 4: Simplify right side
    456.30x = 161,900.20
  5. Step 5: Solve for x
    x = 161,900.20/456.30
  6. Step 6: Final answer
    x = 354.81

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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.