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Finding the Fourth Proportional to 498.42, 687.66 and 301.98

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Solution

The fourth proportional to 498.42, 687.66 and 301.98 is: 416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.42 : 687.66 = 301.98 : x
  2. Step 2: Convert to fraction form
    498.42/687.66 = 301.98/x
  3. Step 3: Cross multiply
    498.42x = 687.66 × 301.98
  4. Step 4: Simplify right side
    498.42x = 207,659.57
  5. Step 5: Solve for x
    x = 207,659.57/498.42
  6. Step 6: Final answer
    x = 416.64

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