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Finding the Fourth Proportional to 482.95, 723.21 and 414.91

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Solution

The fourth proportional to 482.95, 723.21 and 414.91 is: 621.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.95 : 723.21 = 414.91 : x
  2. Step 2: Convert to fraction form
    482.95/723.21 = 414.91/x
  3. Step 3: Cross multiply
    482.95x = 723.21 × 414.91
  4. Step 4: Simplify right side
    482.95x = 300,067.06
  5. Step 5: Solve for x
    x = 300,067.06/482.95
  6. Step 6: Final answer
    x = 621.32

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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.