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Finding the Fourth Proportional to 479.88, 720.06 and 416.20

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Solution

The fourth proportional to 479.88, 720.06 and 416.20 is: 624.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.88 : 720.06 = 416.20 : x
  2. Step 2: Convert to fraction form
    479.88/720.06 = 416.20/x
  3. Step 3: Cross multiply
    479.88x = 720.06 × 416.20
  4. Step 4: Simplify right side
    479.88x = 299,688.97
  5. Step 5: Solve for x
    x = 299,688.97/479.88
  6. Step 6: Final answer
    x = 624.51

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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.