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Finding the Fourth Proportional to 666.83, 999.74 and 406.62

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Solution

The fourth proportional to 666.83, 999.74 and 406.62 is: 609.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.83 : 999.74 = 406.62 : x
  2. Step 2: Convert to fraction form
    666.83/999.74 = 406.62/x
  3. Step 3: Cross multiply
    666.83x = 999.74 × 406.62
  4. Step 4: Simplify right side
    666.83x = 406,515.30
  5. Step 5: Solve for x
    x = 406,515.30/666.83
  6. Step 6: Final answer
    x = 609.62

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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.