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Finding the Fourth Proportional to 401.82, 554.47 and 224.77

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Solution

The fourth proportional to 401.82, 554.47 and 224.77 is: 310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.82 : 554.47 = 224.77 : x
  2. Step 2: Convert to fraction form
    401.82/554.47 = 224.77/x
  3. Step 3: Cross multiply
    401.82x = 554.47 × 224.77
  4. Step 4: Simplify right side
    401.82x = 124,628.22
  5. Step 5: Solve for x
    x = 124,628.22/401.82
  6. Step 6: Final answer
    x = 310.16

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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.