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Finding the Fourth Proportional to 701.69, 967.83 and 436.29

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Solution

The fourth proportional to 701.69, 967.83 and 436.29 is: 601.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.69 : 967.83 = 436.29 : x
  2. Step 2: Convert to fraction form
    701.69/967.83 = 436.29/x
  3. Step 3: Cross multiply
    701.69x = 967.83 × 436.29
  4. Step 4: Simplify right side
    701.69x = 422,254.55
  5. Step 5: Solve for x
    x = 422,254.55/701.69
  6. Step 6: Final answer
    x = 601.77

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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.