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Finding the Fourth Proportional to 493.05, 739.60 and 420.46

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Solution

The fourth proportional to 493.05, 739.60 and 420.46 is: 630.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.05 : 739.60 = 420.46 : x
  2. Step 2: Convert to fraction form
    493.05/739.60 = 420.46/x
  3. Step 3: Cross multiply
    493.05x = 739.60 × 420.46
  4. Step 4: Simplify right side
    493.05x = 310,969.32
  5. Step 5: Solve for x
    x = 310,969.32/493.05
  6. Step 6: Final answer
    x = 630.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.