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Finding the Fourth Proportional to 497.79, 687.27 and 311.54

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Solution

The fourth proportional to 497.79, 687.27 and 311.54 is: 430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.79 : 687.27 = 311.54 : x
  2. Step 2: Convert to fraction form
    497.79/687.27 = 311.54/x
  3. Step 3: Cross multiply
    497.79x = 687.27 × 311.54
  4. Step 4: Simplify right side
    497.79x = 214,110.54
  5. Step 5: Solve for x
    x = 214,110.54/497.79
  6. Step 6: Final answer
    x = 430.12

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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.