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Finding the Fourth Proportional to 497.38, 749.05 and 420.85

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Solution

The fourth proportional to 497.38, 749.05 and 420.85 is: 633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.38 : 749.05 = 420.85 : x
  2. Step 2: Convert to fraction form
    497.38/749.05 = 420.85/x
  3. Step 3: Cross multiply
    497.38x = 749.05 × 420.85
  4. Step 4: Simplify right side
    497.38x = 315,237.69
  5. Step 5: Solve for x
    x = 315,237.69/497.38
  6. Step 6: Final answer
    x = 633.80

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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.