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Finding the Fourth Proportional to 482.32, 723.28 and 208.24

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Solution

The fourth proportional to 482.32, 723.28 and 208.24 is: 312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.32 : 723.28 = 208.24 : x
  2. Step 2: Convert to fraction form
    482.32/723.28 = 208.24/x
  3. Step 3: Cross multiply
    482.32x = 723.28 × 208.24
  4. Step 4: Simplify right side
    482.32x = 150,615.83
  5. Step 5: Solve for x
    x = 150,615.83/482.32
  6. Step 6: Final answer
    x = 312.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.