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Finding the Fourth Proportional to 696.94, 962.22 and 435.34

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Solution

The fourth proportional to 696.94, 962.22 and 435.34 is: 601.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.94 : 962.22 = 435.34 : x
  2. Step 2: Convert to fraction form
    696.94/962.22 = 435.34/x
  3. Step 3: Cross multiply
    696.94x = 962.22 × 435.34
  4. Step 4: Simplify right side
    696.94x = 418,892.85
  5. Step 5: Solve for x
    x = 418,892.85/696.94
  6. Step 6: Final answer
    x = 601.05

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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.