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Finding the Fourth Proportional to 304.73, 457.32 and 213.53

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Solution

The fourth proportional to 304.73, 457.32 and 213.53 is: 320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.73 : 457.32 = 213.53 : x
  2. Step 2: Convert to fraction form
    304.73/457.32 = 213.53/x
  3. Step 3: Cross multiply
    304.73x = 457.32 × 213.53
  4. Step 4: Simplify right side
    304.73x = 97,651.54
  5. Step 5: Solve for x
    x = 97,651.54/304.73
  6. Step 6: Final answer
    x = 320.45

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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.