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Finding the Fourth Proportional to 304.92, 457.74 and 214.20

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Solution

The fourth proportional to 304.92, 457.74 and 214.20 is: 321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.92 : 457.74 = 214.20 : x
  2. Step 2: Convert to fraction form
    304.92/457.74 = 214.20/x
  3. Step 3: Cross multiply
    304.92x = 457.74 × 214.20
  4. Step 4: Simplify right side
    304.92x = 98,047.91
  5. Step 5: Solve for x
    x = 98,047.91/304.92
  6. Step 6: Final answer
    x = 321.55

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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.