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Finding the Fourth Proportional to 456.35, 629.66 and 257.13

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Solution

The fourth proportional to 456.35, 629.66 and 257.13 is: 354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.35 : 629.66 = 257.13 : x
  2. Step 2: Convert to fraction form
    456.35/629.66 = 257.13/x
  3. Step 3: Cross multiply
    456.35x = 629.66 × 257.13
  4. Step 4: Simplify right side
    456.35x = 161,903.19
  5. Step 5: Solve for x
    x = 161,903.19/456.35
  6. Step 6: Final answer
    x = 354.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.