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Finding the Fourth Proportional to 696.56, 962.52 and 464

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Solution

The fourth proportional to 696.56, 962.52 and 464 is: 641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.56 : 962.52 = 464 : x
  2. Step 2: Convert to fraction form
    696.56/962.52 = 464/x
  3. Step 3: Cross multiply
    696.56x = 962.52 × 464
  4. Step 4: Simplify right side
    696.56x = 446,609.28
  5. Step 5: Solve for x
    x = 446,609.28/696.56
  6. Step 6: Final answer
    x = 641.16

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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.