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Finding the Fourth Proportional to 696.27, 960.85 and 401.53

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Solution

The fourth proportional to 696.27, 960.85 and 401.53 is: 554.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.27 : 960.85 = 401.53 : x
  2. Step 2: Convert to fraction form
    696.27/960.85 = 401.53/x
  3. Step 3: Cross multiply
    696.27x = 960.85 × 401.53
  4. Step 4: Simplify right side
    696.27x = 385,810.10
  5. Step 5: Solve for x
    x = 385,810.10/696.27
  6. Step 6: Final answer
    x = 554.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.