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Finding the Fourth Proportional to 740.52, 1,109.64 and 329.40

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Solution

The fourth proportional to 740.52, 1,109.64 and 329.40 is: 493.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.52 : 1,109.64 = 329.40 : x
  2. Step 2: Convert to fraction form
    740.52/1,109.64 = 329.40/x
  3. Step 3: Cross multiply
    740.52x = 1,109.64 × 329.40
  4. Step 4: Simplify right side
    740.52x = 365,515.42
  5. Step 5: Solve for x
    x = 365,515.42/740.52
  6. Step 6: Final answer
    x = 493.59

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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.