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Finding the Fourth Proportional to 456.10, 627.96 and 376.45

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Solution

The fourth proportional to 456.10, 627.96 and 376.45 is: 518.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.10 : 627.96 = 376.45 : x
  2. Step 2: Convert to fraction form
    456.10/627.96 = 376.45/x
  3. Step 3: Cross multiply
    456.10x = 627.96 × 376.45
  4. Step 4: Simplify right side
    456.10x = 236,395.54
  5. Step 5: Solve for x
    x = 236,395.54/456.10
  6. Step 6: Final answer
    x = 518.30

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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.