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Finding the Fourth Proportional to 458.96, 688.53 and 227.84

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Solution

The fourth proportional to 458.96, 688.53 and 227.84 is: 341.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.96 : 688.53 = 227.84 : x
  2. Step 2: Convert to fraction form
    458.96/688.53 = 227.84/x
  3. Step 3: Cross multiply
    458.96x = 688.53 × 227.84
  4. Step 4: Simplify right side
    458.96x = 156,874.68
  5. Step 5: Solve for x
    x = 156,874.68/458.96
  6. Step 6: Final answer
    x = 341.80

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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.