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Finding the Fourth Proportional to 666.77, 999.68 and 255.69

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Solution

The fourth proportional to 666.77, 999.68 and 255.69 is: 383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.77 : 999.68 = 255.69 : x
  2. Step 2: Convert to fraction form
    666.77/999.68 = 255.69/x
  3. Step 3: Cross multiply
    666.77x = 999.68 × 255.69
  4. Step 4: Simplify right side
    666.77x = 255,606.90
  5. Step 5: Solve for x
    x = 255,606.90/666.77
  6. Step 6: Final answer
    x = 383.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.