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Finding the Fourth Proportional to 496.92, 686.34 and 431.40

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Solution

The fourth proportional to 496.92, 686.34 and 431.40 is: 595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.92 : 686.34 = 431.40 : x
  2. Step 2: Convert to fraction form
    496.92/686.34 = 431.40/x
  3. Step 3: Cross multiply
    496.92x = 686.34 × 431.40
  4. Step 4: Simplify right side
    496.92x = 296,087.08
  5. Step 5: Solve for x
    x = 296,087.08/496.92
  6. Step 6: Final answer
    x = 595.84

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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.