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Finding the Fourth Proportional to 458.09, 687.48 and 341.22

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Solution

The fourth proportional to 458.09, 687.48 and 341.22 is: 512.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.09 : 687.48 = 341.22 : x
  2. Step 2: Convert to fraction form
    458.09/687.48 = 341.22/x
  3. Step 3: Cross multiply
    458.09x = 687.48 × 341.22
  4. Step 4: Simplify right side
    458.09x = 234,583.22
  5. Step 5: Solve for x
    x = 234,583.22/458.09
  6. Step 6: Final answer
    x = 512.09

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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.