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Finding the Fourth Proportional to 405.09, 607.38 and 199.75

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Solution

The fourth proportional to 405.09, 607.38 and 199.75 is: 299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.09 : 607.38 = 199.75 : x
  2. Step 2: Convert to fraction form
    405.09/607.38 = 199.75/x
  3. Step 3: Cross multiply
    405.09x = 607.38 × 199.75
  4. Step 4: Simplify right side
    405.09x = 121,324.16
  5. Step 5: Solve for x
    x = 121,324.16/405.09
  6. Step 6: Final answer
    x = 299.50

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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.