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Finding the Fourth Proportional to 484.65, 723.90 and 416.43

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Solution

The fourth proportional to 484.65, 723.90 and 416.43 is: 622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.65 : 723.90 = 416.43 : x
  2. Step 2: Convert to fraction form
    484.65/723.90 = 416.43/x
  3. Step 3: Cross multiply
    484.65x = 723.90 × 416.43
  4. Step 4: Simplify right side
    484.65x = 301,453.68
  5. Step 5: Solve for x
    x = 301,453.68/484.65
  6. Step 6: Final answer
    x = 622.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.