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Finding the Fourth Proportional to 437.03, 654.93 and 193.49

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Solution

The fourth proportional to 437.03, 654.93 and 193.49 is: 289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.03 : 654.93 = 193.49 : x
  2. Step 2: Convert to fraction form
    437.03/654.93 = 193.49/x
  3. Step 3: Cross multiply
    437.03x = 654.93 × 193.49
  4. Step 4: Simplify right side
    437.03x = 126,722.41
  5. Step 5: Solve for x
    x = 126,722.41/437.03
  6. Step 6: Final answer
    x = 289.96

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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.