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Finding the Fourth Proportional to 701.22, 967.30 and 435.58

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Solution

The fourth proportional to 701.22, 967.30 and 435.58 is: 600.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.22 : 967.30 = 435.58 : x
  2. Step 2: Convert to fraction form
    701.22/967.30 = 435.58/x
  3. Step 3: Cross multiply
    701.22x = 967.30 × 435.58
  4. Step 4: Simplify right side
    701.22x = 421,336.53
  5. Step 5: Solve for x
    x = 421,336.53/701.22
  6. Step 6: Final answer
    x = 600.86

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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.