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Finding the Fourth Proportional to 406.03, 608.64 and 269.14

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Solution

The fourth proportional to 406.03, 608.64 and 269.14 is: 403.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.03 : 608.64 = 269.14 : x
  2. Step 2: Convert to fraction form
    406.03/608.64 = 269.14/x
  3. Step 3: Cross multiply
    406.03x = 608.64 × 269.14
  4. Step 4: Simplify right side
    406.03x = 163,809.37
  5. Step 5: Solve for x
    x = 163,809.37/406.03
  6. Step 6: Final answer
    x = 403.44

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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.