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Finding the Fourth Proportional to 401.84, 553.44 and 336.08

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Solution

The fourth proportional to 401.84, 553.44 and 336.08 is: 462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.84 : 553.44 = 336.08 : x
  2. Step 2: Convert to fraction form
    401.84/553.44 = 336.08/x
  3. Step 3: Cross multiply
    401.84x = 553.44 × 336.08
  4. Step 4: Simplify right side
    401.84x = 186,000.12
  5. Step 5: Solve for x
    x = 186,000.12/401.84
  6. Step 6: Final answer
    x = 462.87

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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.