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Finding the Fourth Proportional to 496.87, 686.88 and 455.36

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Solution

The fourth proportional to 496.87, 686.88 and 455.36 is: 629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.87 : 686.88 = 455.36 : x
  2. Step 2: Convert to fraction form
    496.87/686.88 = 455.36/x
  3. Step 3: Cross multiply
    496.87x = 686.88 × 455.36
  4. Step 4: Simplify right side
    496.87x = 312,774.24
  5. Step 5: Solve for x
    x = 312,774.24/496.87
  6. Step 6: Final answer
    x = 629.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.