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Finding the Fourth Proportional to 696.28, 959.53 and 499.45

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Solution

The fourth proportional to 696.28, 959.53 and 499.45 is: 688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.28 : 959.53 = 499.45 : x
  2. Step 2: Convert to fraction form
    696.28/959.53 = 499.45/x
  3. Step 3: Cross multiply
    696.28x = 959.53 × 499.45
  4. Step 4: Simplify right side
    696.28x = 479,237.26
  5. Step 5: Solve for x
    x = 479,237.26/696.28
  6. Step 6: Final answer
    x = 688.28

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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.