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Finding the Fourth Proportional to 666.33, 999.50 and 406.46

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Solution

The fourth proportional to 666.33, 999.50 and 406.46 is: 609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.33 : 999.50 = 406.46 : x
  2. Step 2: Convert to fraction form
    666.33/999.50 = 406.46/x
  3. Step 3: Cross multiply
    666.33x = 999.50 × 406.46
  4. Step 4: Simplify right side
    666.33x = 406,249.74
  5. Step 5: Solve for x
    x = 406,249.74/666.33
  6. Step 6: Final answer
    x = 609.68

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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.