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Finding the Fourth Proportional to 666.49, 1,000.18 and 233.65

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Solution

The fourth proportional to 666.49, 1,000.18 and 233.65 is: 350.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.49 : 1,000.18 = 233.65 : x
  2. Step 2: Convert to fraction form
    666.49/1,000.18 = 233.65/x
  3. Step 3: Cross multiply
    666.49x = 1,000.18 × 233.65
  4. Step 4: Simplify right side
    666.49x = 233,687.06
  5. Step 5: Solve for x
    x = 233,687.06/666.49
  6. Step 6: Final answer
    x = 350.62

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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.