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Finding the Fourth Proportional to 740.50, 1,110.92 and 220.50

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Solution

The fourth proportional to 740.50, 1,110.92 and 220.50 is: 330.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.50 : 1,110.92 = 220.50 : x
  2. Step 2: Convert to fraction form
    740.50/1,110.92 = 220.50/x
  3. Step 3: Cross multiply
    740.50x = 1,110.92 × 220.50
  4. Step 4: Simplify right side
    740.50x = 244,956.76
  5. Step 5: Solve for x
    x = 244,956.76/740.50
  6. Step 6: Final answer
    x = 330.80

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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.