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Finding the Fourth Proportional to 405.48, 608.03 and 199.96

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Solution

The fourth proportional to 405.48, 608.03 and 199.96 is: 299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.48 : 608.03 = 199.96 : x
  2. Step 2: Convert to fraction form
    405.48/608.03 = 199.96/x
  3. Step 3: Cross multiply
    405.48x = 608.03 × 199.96
  4. Step 4: Simplify right side
    405.48x = 121,583.46
  5. Step 5: Solve for x
    x = 121,583.46/405.48
  6. Step 6: Final answer
    x = 299.85

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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.