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Finding the Fourth Proportional to 482.36, 723.96 and 406.16

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Solution

The fourth proportional to 482.36, 723.96 and 406.16 is: 609.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.36 : 723.96 = 406.16 : x
  2. Step 2: Convert to fraction form
    482.36/723.96 = 406.16/x
  3. Step 3: Cross multiply
    482.36x = 723.96 × 406.16
  4. Step 4: Simplify right side
    482.36x = 294,043.59
  5. Step 5: Solve for x
    x = 294,043.59/482.36
  6. Step 6: Final answer
    x = 609.59

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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.