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Finding the Fourth Proportional to 406.10, 608.88 and 189.74

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Solution

The fourth proportional to 406.10, 608.88 and 189.74 is: 284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.10 : 608.88 = 189.74 : x
  2. Step 2: Convert to fraction form
    406.10/608.88 = 189.74/x
  3. Step 3: Cross multiply
    406.10x = 608.88 × 189.74
  4. Step 4: Simplify right side
    406.10x = 115,528.89
  5. Step 5: Solve for x
    x = 115,528.89/406.10
  6. Step 6: Final answer
    x = 284.48

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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.