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Finding the Fourth Proportional to 406.50, 608.94 and 269.13

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Solution

The fourth proportional to 406.50, 608.94 and 269.13 is: 403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.50 : 608.94 = 269.13 : x
  2. Step 2: Convert to fraction form
    406.50/608.94 = 269.13/x
  3. Step 3: Cross multiply
    406.50x = 608.94 × 269.13
  4. Step 4: Simplify right side
    406.50x = 163,884.02
  5. Step 5: Solve for x
    x = 163,884.02/406.50
  6. Step 6: Final answer
    x = 403.16

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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.