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Finding the Fourth Proportional to 493.70, 680.55 and 307.09

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Solution

The fourth proportional to 493.70, 680.55 and 307.09 is: 423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.70 : 680.55 = 307.09 : x
  2. Step 2: Convert to fraction form
    493.70/680.55 = 307.09/x
  3. Step 3: Cross multiply
    493.70x = 680.55 × 307.09
  4. Step 4: Simplify right side
    493.70x = 208,991.53
  5. Step 5: Solve for x
    x = 208,991.53/493.70
  6. Step 6: Final answer
    x = 423.32

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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.