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Finding the Fourth Proportional to 696.03, 960.53 and 385.53

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Solution

The fourth proportional to 696.03, 960.53 and 385.53 is: 532.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.03 : 960.53 = 385.53 : x
  2. Step 2: Convert to fraction form
    696.03/960.53 = 385.53/x
  3. Step 3: Cross multiply
    696.03x = 960.53 × 385.53
  4. Step 4: Simplify right side
    696.03x = 370,311.20
  5. Step 5: Solve for x
    x = 370,311.20/696.03
  6. Step 6: Final answer
    x = 532.03

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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.