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Finding the Fourth Proportional to 740.21, 1,109.54 and 329.54

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Solution

The fourth proportional to 740.21, 1,109.54 and 329.54 is: 493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.21 : 1,109.54 = 329.54 : x
  2. Step 2: Convert to fraction form
    740.21/1,109.54 = 329.54/x
  3. Step 3: Cross multiply
    740.21x = 1,109.54 × 329.54
  4. Step 4: Simplify right side
    740.21x = 365,631.85
  5. Step 5: Solve for x
    x = 365,631.85/740.21
  6. Step 6: Final answer
    x = 493.96

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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.