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Finding the Fourth Proportional to 401.23, 553.73 and 224.23

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Solution

The fourth proportional to 401.23, 553.73 and 224.23 is: 309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.23 : 553.73 = 224.23 : x
  2. Step 2: Convert to fraction form
    401.23/553.73 = 224.23/x
  3. Step 3: Cross multiply
    401.23x = 553.73 × 224.23
  4. Step 4: Simplify right side
    401.23x = 124,158.99
  5. Step 5: Solve for x
    x = 124,158.99/401.23
  6. Step 6: Final answer
    x = 309.45

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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.