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Finding the Fourth Proportional to 643.25, 887.76 and 477.93

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Solution

The fourth proportional to 643.25, 887.76 and 477.93 is: 659.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.25 : 887.76 = 477.93 : x
  2. Step 2: Convert to fraction form
    643.25/887.76 = 477.93/x
  3. Step 3: Cross multiply
    643.25x = 887.76 × 477.93
  4. Step 4: Simplify right side
    643.25x = 424,287.14
  5. Step 5: Solve for x
    x = 424,287.14/643.25
  6. Step 6: Final answer
    x = 659.60

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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.