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Finding the Fourth Proportional to 643.47, 887.83 and 434.04

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Solution

The fourth proportional to 643.47, 887.83 and 434.04 is: 598.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.47 : 887.83 = 434.04 : x
  2. Step 2: Convert to fraction form
    643.47/887.83 = 434.04/x
  3. Step 3: Cross multiply
    643.47x = 887.83 × 434.04
  4. Step 4: Simplify right side
    643.47x = 385,353.73
  5. Step 5: Solve for x
    x = 385,353.73/643.47
  6. Step 6: Final answer
    x = 598.87

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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.