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Finding the Fourth Proportional to 401.38, 553.86 and 296.53

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Solution

The fourth proportional to 401.38, 553.86 and 296.53 is: 409.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.38 : 553.86 = 296.53 : x
  2. Step 2: Convert to fraction form
    401.38/553.86 = 296.53/x
  3. Step 3: Cross multiply
    401.38x = 553.86 × 296.53
  4. Step 4: Simplify right side
    401.38x = 164,234.72
  5. Step 5: Solve for x
    x = 164,234.72/401.38
  6. Step 6: Final answer
    x = 409.18

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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.