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Finding the Fourth Proportional to 305.74, 458.25 and 213.94

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Solution

The fourth proportional to 305.74, 458.25 and 213.94 is: 320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.74 : 458.25 = 213.94 : x
  2. Step 2: Convert to fraction form
    305.74/458.25 = 213.94/x
  3. Step 3: Cross multiply
    305.74x = 458.25 × 213.94
  4. Step 4: Simplify right side
    305.74x = 98,038.01
  5. Step 5: Solve for x
    x = 98,038.01/305.74
  6. Step 6: Final answer
    x = 320.66

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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.