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Finding the Fourth Proportional to 720.47, 1,080 and 233.21

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Solution

The fourth proportional to 720.47, 1,080 and 233.21 is: 349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.47 : 1,080 = 233.21 : x
  2. Step 2: Convert to fraction form
    720.47/1,080 = 233.21/x
  3. Step 3: Cross multiply
    720.47x = 1,080 × 233.21
  4. Step 4: Simplify right side
    720.47x = 251,861.40
  5. Step 5: Solve for x
    x = 251,861.40/720.47
  6. Step 6: Final answer
    x = 349.58

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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.