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Finding the Fourth Proportional to 498.10, 687.23 and 311.77

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Solution

The fourth proportional to 498.10, 687.23 and 311.77 is: 430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.10 : 687.23 = 311.77 : x
  2. Step 2: Convert to fraction form
    498.10/687.23 = 311.77/x
  3. Step 3: Cross multiply
    498.10x = 687.23 × 311.77
  4. Step 4: Simplify right side
    498.10x = 214,257.70
  5. Step 5: Solve for x
    x = 214,257.70/498.10
  6. Step 6: Final answer
    x = 430.15

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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.