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Finding the Fourth Proportional to 493.02, 680.15 and 303.90

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Solution

The fourth proportional to 493.02, 680.15 and 303.90 is: 419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.02 : 680.15 = 303.90 : x
  2. Step 2: Convert to fraction form
    493.02/680.15 = 303.90/x
  3. Step 3: Cross multiply
    493.02x = 680.15 × 303.90
  4. Step 4: Simplify right side
    493.02x = 206,697.59
  5. Step 5: Solve for x
    x = 206,697.59/493.02
  6. Step 6: Final answer
    x = 419.25

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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.