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Finding the Fourth Proportional to 406.42, 609.53 and 117.80

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Solution

The fourth proportional to 406.42, 609.53 and 117.80 is: 176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.42 : 609.53 = 117.80 : x
  2. Step 2: Convert to fraction form
    406.42/609.53 = 117.80/x
  3. Step 3: Cross multiply
    406.42x = 609.53 × 117.80
  4. Step 4: Simplify right side
    406.42x = 71,802.63
  5. Step 5: Solve for x
    x = 71,802.63/406.42
  6. Step 6: Final answer
    x = 176.67

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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.