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Finding the Fourth Proportional to 491.77, 737.49 and 203.14

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Solution

The fourth proportional to 491.77, 737.49 and 203.14 is: 304.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.77 : 737.49 = 203.14 : x
  2. Step 2: Convert to fraction form
    491.77/737.49 = 203.14/x
  3. Step 3: Cross multiply
    491.77x = 737.49 × 203.14
  4. Step 4: Simplify right side
    491.77x = 149,813.72
  5. Step 5: Solve for x
    x = 149,813.72/491.77
  6. Step 6: Final answer
    x = 304.64

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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.