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Finding the Fourth Proportional to 498.16, 687.52 and 311.68

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Solution

The fourth proportional to 498.16, 687.52 and 311.68 is: 430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.16 : 687.52 = 311.68 : x
  2. Step 2: Convert to fraction form
    498.16/687.52 = 311.68/x
  3. Step 3: Cross multiply
    498.16x = 687.52 × 311.68
  4. Step 4: Simplify right side
    498.16x = 214,286.23
  5. Step 5: Solve for x
    x = 214,286.23/498.16
  6. Step 6: Final answer
    x = 430.16

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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.