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Finding the Fourth Proportional to 406.19, 608.81 and 175.20

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Solution

The fourth proportional to 406.19, 608.81 and 175.20 is: 262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.19 : 608.81 = 175.20 : x
  2. Step 2: Convert to fraction form
    406.19/608.81 = 175.20/x
  3. Step 3: Cross multiply
    406.19x = 608.81 × 175.20
  4. Step 4: Simplify right side
    406.19x = 106,662.64
  5. Step 5: Solve for x
    x = 106,662.64/406.19
  6. Step 6: Final answer
    x = 262.60

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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.