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Finding the Fourth Proportional to 480.47, 720.27 and 233.52

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Solution

The fourth proportional to 480.47, 720.27 and 233.52 is: 350.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.47 : 720.27 = 233.52 : x
  2. Step 2: Convert to fraction form
    480.47/720.27 = 233.52/x
  3. Step 3: Cross multiply
    480.47x = 720.27 × 233.52
  4. Step 4: Simplify right side
    480.47x = 168,197.45
  5. Step 5: Solve for x
    x = 168,197.45/480.47
  6. Step 6: Final answer
    x = 350.07

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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.