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Finding the Fourth Proportional to 401.52, 601.20 and 352.32

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Solution

The fourth proportional to 401.52, 601.20 and 352.32 is: 527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.52 : 601.20 = 352.32 : x
  2. Step 2: Convert to fraction form
    401.52/601.20 = 352.32/x
  3. Step 3: Cross multiply
    401.52x = 601.20 × 352.32
  4. Step 4: Simplify right side
    401.52x = 211,814.78
  5. Step 5: Solve for x
    x = 211,814.78/401.52
  6. Step 6: Final answer
    x = 527.53

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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.