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Finding the Fourth Proportional to 493.22, 739.80 and 356.51

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Solution

The fourth proportional to 493.22, 739.80 and 356.51 is: 534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.22 : 739.80 = 356.51 : x
  2. Step 2: Convert to fraction form
    493.22/739.80 = 356.51/x
  3. Step 3: Cross multiply
    493.22x = 739.80 × 356.51
  4. Step 4: Simplify right side
    493.22x = 263,742.40
  5. Step 5: Solve for x
    x = 263,742.40/493.22
  6. Step 6: Final answer
    x = 534.74

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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.