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Finding the Fourth Proportional to 666.86, 999.86 and 277.13

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Solution

The fourth proportional to 666.86, 999.86 and 277.13 is: 415.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.86 : 999.86 = 277.13 : x
  2. Step 2: Convert to fraction form
    666.86/999.86 = 277.13/x
  3. Step 3: Cross multiply
    666.86x = 999.86 × 277.13
  4. Step 4: Simplify right side
    666.86x = 277,091.20
  5. Step 5: Solve for x
    x = 277,091.20/666.86
  6. Step 6: Final answer
    x = 415.52

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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.