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Finding the Fourth Proportional to 401.60, 554.25 and 252.33

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Solution

The fourth proportional to 401.60, 554.25 and 252.33 is: 348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.60 : 554.25 = 252.33 : x
  2. Step 2: Convert to fraction form
    401.60/554.25 = 252.33/x
  3. Step 3: Cross multiply
    401.60x = 554.25 × 252.33
  4. Step 4: Simplify right side
    401.60x = 139,853.90
  5. Step 5: Solve for x
    x = 139,853.90/401.60
  6. Step 6: Final answer
    x = 348.24

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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.