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Finding the Fourth Proportional to 401.25, 601.88 and 97.25

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Solution

The fourth proportional to 401.25, 601.88 and 97.25 is: 145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.25 : 601.88 = 97.25 : x
  2. Step 2: Convert to fraction form
    401.25/601.88 = 97.25/x
  3. Step 3: Cross multiply
    401.25x = 601.88 × 97.25
  4. Step 4: Simplify right side
    401.25x = 58,532.34
  5. Step 5: Solve for x
    x = 58,532.34/401.25
  6. Step 6: Final answer
    x = 145.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.