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Finding the Fourth Proportional to 800.42, 1,200.64 and 223.26

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Solution

The fourth proportional to 800.42, 1,200.64 and 223.26 is: 334.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.42 : 1,200.64 = 223.26 : x
  2. Step 2: Convert to fraction form
    800.42/1,200.64 = 223.26/x
  3. Step 3: Cross multiply
    800.42x = 1,200.64 × 223.26
  4. Step 4: Simplify right side
    800.42x = 268,054.89
  5. Step 5: Solve for x
    x = 268,054.89/800.42
  6. Step 6: Final answer
    x = 334.89

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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.