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Finding the Fourth Proportional to 496.96, 748.45 and 420.46

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Solution

The fourth proportional to 496.96, 748.45 and 420.46 is: 633.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.96 : 748.45 = 420.46 : x
  2. Step 2: Convert to fraction form
    496.96/748.45 = 420.46/x
  3. Step 3: Cross multiply
    496.96x = 748.45 × 420.46
  4. Step 4: Simplify right side
    496.96x = 314,693.29
  5. Step 5: Solve for x
    x = 314,693.29/496.96
  6. Step 6: Final answer
    x = 633.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.