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Finding the Fourth Proportional to 406.86, 609.70 and 175.69

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Solution

The fourth proportional to 406.86, 609.70 and 175.69 is: 263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.86 : 609.70 = 175.69 : x
  2. Step 2: Convert to fraction form
    406.86/609.70 = 175.69/x
  3. Step 3: Cross multiply
    406.86x = 609.70 × 175.69
  4. Step 4: Simplify right side
    406.86x = 107,118.19
  5. Step 5: Solve for x
    x = 107,118.19/406.86
  6. Step 6: Final answer
    x = 263.28

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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.