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Finding the Fourth Proportional to 696.18, 960.68 and 401.46

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Solution

The fourth proportional to 696.18, 960.68 and 401.46 is: 553.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.18 : 960.68 = 401.46 : x
  2. Step 2: Convert to fraction form
    696.18/960.68 = 401.46/x
  3. Step 3: Cross multiply
    696.18x = 960.68 × 401.46
  4. Step 4: Simplify right side
    696.18x = 385,674.59
  5. Step 5: Solve for x
    x = 385,674.59/696.18
  6. Step 6: Final answer
    x = 553.99

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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.