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Finding the Fourth Proportional to 666.12, 999.72 and 406.56

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Solution

The fourth proportional to 666.12, 999.72 and 406.56 is: 610.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.12 : 999.72 = 406.56 : x
  2. Step 2: Convert to fraction form
    666.12/999.72 = 406.56/x
  3. Step 3: Cross multiply
    666.12x = 999.72 × 406.56
  4. Step 4: Simplify right side
    666.12x = 406,446.16
  5. Step 5: Solve for x
    x = 406,446.16/666.12
  6. Step 6: Final answer
    x = 610.17

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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.