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Finding the Fourth Proportional to 401.60, 554.46 and 308.17

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Solution

The fourth proportional to 401.60, 554.46 and 308.17 is: 425.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.60 : 554.46 = 308.17 : x
  2. Step 2: Convert to fraction form
    401.60/554.46 = 308.17/x
  3. Step 3: Cross multiply
    401.60x = 554.46 × 308.17
  4. Step 4: Simplify right side
    401.60x = 170,863.63
  5. Step 5: Solve for x
    x = 170,863.63/401.60
  6. Step 6: Final answer
    x = 425.46

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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.