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Finding the Fourth Proportional to 497.68, 686.40 and 311

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Solution

The fourth proportional to 497.68, 686.40 and 311 is: 428.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.68 : 686.40 = 311 : x
  2. Step 2: Convert to fraction form
    497.68/686.40 = 311/x
  3. Step 3: Cross multiply
    497.68x = 686.40 × 311
  4. Step 4: Simplify right side
    497.68x = 213,470.40
  5. Step 5: Solve for x
    x = 213,470.40/497.68
  6. Step 6: Final answer
    x = 428.93

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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.