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Finding the Fourth Proportional to 666.50, 999.75 and 255.77

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Solution

The fourth proportional to 666.50, 999.75 and 255.77 is: 383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.50 : 999.75 = 255.77 : x
  2. Step 2: Convert to fraction form
    666.50/999.75 = 255.77/x
  3. Step 3: Cross multiply
    666.50x = 999.75 × 255.77
  4. Step 4: Simplify right side
    666.50x = 255,701.06
  5. Step 5: Solve for x
    x = 255,701.06/666.50
  6. Step 6: Final answer
    x = 383.65

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Double scale
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Similar ratio
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1.5x scale

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.