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Finding the Fourth Proportional to 491.68, 737.43 and 203.14

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Solution

The fourth proportional to 491.68, 737.43 and 203.14 is: 304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.68 : 737.43 = 203.14 : x
  2. Step 2: Convert to fraction form
    491.68/737.43 = 203.14/x
  3. Step 3: Cross multiply
    491.68x = 737.43 × 203.14
  4. Step 4: Simplify right side
    491.68x = 149,801.53
  5. Step 5: Solve for x
    x = 149,801.53/491.68
  6. Step 6: Final answer
    x = 304.67

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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.