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Finding the Fourth Proportional to 456.60, 628.56 and 401.16

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Solution

The fourth proportional to 456.60, 628.56 and 401.16 is: 552.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.60 : 628.56 = 401.16 : x
  2. Step 2: Convert to fraction form
    456.60/628.56 = 401.16/x
  3. Step 3: Cross multiply
    456.60x = 628.56 × 401.16
  4. Step 4: Simplify right side
    456.60x = 252,153.13
  5. Step 5: Solve for x
    x = 252,153.13/456.60
  6. Step 6: Final answer
    x = 552.24

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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.