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Finding the Fourth Proportional to 497.65, 686.73 and 311.08

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Solution

The fourth proportional to 497.65, 686.73 and 311.08 is: 429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.65 : 686.73 = 311.08 : x
  2. Step 2: Convert to fraction form
    497.65/686.73 = 311.08/x
  3. Step 3: Cross multiply
    497.65x = 686.73 × 311.08
  4. Step 4: Simplify right side
    497.65x = 213,627.97
  5. Step 5: Solve for x
    x = 213,627.97/497.65
  6. Step 6: Final answer
    x = 429.27

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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.