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Finding the Fourth Proportional to 401.48, 554.07 and 224.50

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Solution

The fourth proportional to 401.48, 554.07 and 224.50 is: 309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.48 : 554.07 = 224.50 : x
  2. Step 2: Convert to fraction form
    401.48/554.07 = 224.50/x
  3. Step 3: Cross multiply
    401.48x = 554.07 × 224.50
  4. Step 4: Simplify right side
    401.48x = 124,390.25
  5. Step 5: Solve for x
    x = 124,390.25/401.48
  6. Step 6: Final answer
    x = 309.83

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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.