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Finding the Fourth Proportional to 666.10, 999.09 and 233.23

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Solution

The fourth proportional to 666.10, 999.09 and 233.23 is: 349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.10 : 999.09 = 233.23 : x
  2. Step 2: Convert to fraction form
    666.10/999.09 = 233.23/x
  3. Step 3: Cross multiply
    666.10x = 999.09 × 233.23
  4. Step 4: Simplify right side
    666.10x = 233,017.76
  5. Step 5: Solve for x
    x = 233,017.76/666.10
  6. Step 6: Final answer
    x = 349.82

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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.