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Finding the Fourth Proportional to 406.54, 609.98 and 146.58

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Solution

The fourth proportional to 406.54, 609.98 and 146.58 is: 219.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.54 : 609.98 = 146.58 : x
  2. Step 2: Convert to fraction form
    406.54/609.98 = 146.58/x
  3. Step 3: Cross multiply
    406.54x = 609.98 × 146.58
  4. Step 4: Simplify right side
    406.54x = 89,410.87
  5. Step 5: Solve for x
    x = 89,410.87/406.54
  6. Step 6: Final answer
    x = 219.93

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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.