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Finding the Fourth Proportional to 498.42, 687.60 and 311.63

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Solution

The fourth proportional to 498.42, 687.60 and 311.63 is: 429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.42 : 687.60 = 311.63 : x
  2. Step 2: Convert to fraction form
    498.42/687.60 = 311.63/x
  3. Step 3: Cross multiply
    498.42x = 687.60 × 311.63
  4. Step 4: Simplify right side
    498.42x = 214,273.35
  5. Step 5: Solve for x
    x = 214,273.35/498.42
  6. Step 6: Final answer
    x = 429.91

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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.