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Finding the Fourth Proportional to 482.32, 723.40 and 222.32

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Solution

The fourth proportional to 482.32, 723.40 and 222.32 is: 333.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.32 : 723.40 = 222.32 : x
  2. Step 2: Convert to fraction form
    482.32/723.40 = 222.32/x
  3. Step 3: Cross multiply
    482.32x = 723.40 × 222.32
  4. Step 4: Simplify right side
    482.32x = 160,826.29
  5. Step 5: Solve for x
    x = 160,826.29/482.32
  6. Step 6: Final answer
    x = 333.44

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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.