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Finding the Fourth Proportional to 406.34, 608.70 and 232.76

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Solution

The fourth proportional to 406.34, 608.70 and 232.76 is: 348.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.34 : 608.70 = 232.76 : x
  2. Step 2: Convert to fraction form
    406.34/608.70 = 232.76/x
  3. Step 3: Cross multiply
    406.34x = 608.70 × 232.76
  4. Step 4: Simplify right side
    406.34x = 141,677.97
  5. Step 5: Solve for x
    x = 141,677.97/406.34
  6. Step 6: Final answer
    x = 348.67

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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.