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Finding the Fourth Proportional to 498.12, 687.42 and 301.60

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Solution

The fourth proportional to 498.12, 687.42 and 301.60 is: 416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.12 : 687.42 = 301.60 : x
  2. Step 2: Convert to fraction form
    498.12/687.42 = 301.60/x
  3. Step 3: Cross multiply
    498.12x = 687.42 × 301.60
  4. Step 4: Simplify right side
    498.12x = 207,325.87
  5. Step 5: Solve for x
    x = 207,325.87/498.12
  6. Step 6: Final answer
    x = 416.22

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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.