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Finding the Fourth Proportional to 643.68, 887.27 and 456.77

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Solution

The fourth proportional to 643.68, 887.27 and 456.77 is: 629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.68 : 887.27 = 456.77 : x
  2. Step 2: Convert to fraction form
    643.68/887.27 = 456.77/x
  3. Step 3: Cross multiply
    643.68x = 887.27 × 456.77
  4. Step 4: Simplify right side
    643.68x = 405,271.60
  5. Step 5: Solve for x
    x = 405,271.60/643.68
  6. Step 6: Final answer
    x = 629.62

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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.