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Finding the Fourth Proportional to 456.22, 628.32 and 401.14

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Solution

The fourth proportional to 456.22, 628.32 and 401.14 is: 552.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.22 : 628.32 = 401.14 : x
  2. Step 2: Convert to fraction form
    456.22/628.32 = 401.14/x
  3. Step 3: Cross multiply
    456.22x = 628.32 × 401.14
  4. Step 4: Simplify right side
    456.22x = 252,044.28
  5. Step 5: Solve for x
    x = 252,044.28/456.22
  6. Step 6: Final answer
    x = 552.46

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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.