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Finding the Fourth Proportional to 406.16, 609.17 and 117.57

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Solution

The fourth proportional to 406.16, 609.17 and 117.57 is: 176.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.16 : 609.17 = 117.57 : x
  2. Step 2: Convert to fraction form
    406.16/609.17 = 117.57/x
  3. Step 3: Cross multiply
    406.16x = 609.17 × 117.57
  4. Step 4: Simplify right side
    406.16x = 71,619.53
  5. Step 5: Solve for x
    x = 71,619.53/406.16
  6. Step 6: Final answer
    x = 176.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.