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Finding the Fourth Proportional to 480.61, 720.40 and 343.24

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Solution

The fourth proportional to 480.61, 720.40 and 343.24 is: 514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.61 : 720.40 = 343.24 : x
  2. Step 2: Convert to fraction form
    480.61/720.40 = 343.24/x
  3. Step 3: Cross multiply
    480.61x = 720.40 × 343.24
  4. Step 4: Simplify right side
    480.61x = 247,272.28
  5. Step 5: Solve for x
    x = 247,272.28/480.61
  6. Step 6: Final answer
    x = 514.49

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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.