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Finding the Fourth Proportional to 720.26, 1,080.29 and 233.25

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Solution

The fourth proportional to 720.26, 1,080.29 and 233.25 is: 349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.26 : 1,080.29 = 233.25 : x
  2. Step 2: Convert to fraction form
    720.26/1,080.29 = 233.25/x
  3. Step 3: Cross multiply
    720.26x = 1,080.29 × 233.25
  4. Step 4: Simplify right side
    720.26x = 251,978.23
  5. Step 5: Solve for x
    x = 251,978.23/720.26
  6. Step 6: Final answer
    x = 349.84

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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.