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Finding the Fourth Proportional to 498.35, 687.43 and 321.26

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Solution

The fourth proportional to 498.35, 687.43 and 321.26 is: 443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.35 : 687.43 = 321.26 : x
  2. Step 2: Convert to fraction form
    498.35/687.43 = 321.26/x
  3. Step 3: Cross multiply
    498.35x = 687.43 × 321.26
  4. Step 4: Simplify right side
    498.35x = 220,838.72
  5. Step 5: Solve for x
    x = 220,838.72/498.35
  6. Step 6: Final answer
    x = 443.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.