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Finding the Fourth Proportional to 401.41, 553.94 and 235.64

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Solution

The fourth proportional to 401.41, 553.94 and 235.64 is: 325.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.41 : 553.94 = 235.64 : x
  2. Step 2: Convert to fraction form
    401.41/553.94 = 235.64/x
  3. Step 3: Cross multiply
    401.41x = 553.94 × 235.64
  4. Step 4: Simplify right side
    401.41x = 130,530.42
  5. Step 5: Solve for x
    x = 130,530.42/401.41
  6. Step 6: Final answer
    x = 325.18

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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.