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Finding the Fourth Proportional to 491.73, 737.37 and 286.36

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Solution

The fourth proportional to 491.73, 737.37 and 286.36 is: 429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.73 : 737.37 = 286.36 : x
  2. Step 2: Convert to fraction form
    491.73/737.37 = 286.36/x
  3. Step 3: Cross multiply
    491.73x = 737.37 × 286.36
  4. Step 4: Simplify right side
    491.73x = 211,153.27
  5. Step 5: Solve for x
    x = 211,153.27/491.73
  6. Step 6: Final answer
    x = 429.41

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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.