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Finding the Fourth Proportional to 482.42, 723.64 and 321.24

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Solution

The fourth proportional to 482.42, 723.64 and 321.24 is: 481.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.42 : 723.64 = 321.24 : x
  2. Step 2: Convert to fraction form
    482.42/723.64 = 321.24/x
  3. Step 3: Cross multiply
    482.42x = 723.64 × 321.24
  4. Step 4: Simplify right side
    482.42x = 232,462.11
  5. Step 5: Solve for x
    x = 232,462.11/482.42
  6. Step 6: Final answer
    x = 481.87

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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.