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Finding the Fourth Proportional to 401.32, 602.45 and 219.07

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Solution

The fourth proportional to 401.32, 602.45 and 219.07 is: 328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.32 : 602.45 = 219.07 : x
  2. Step 2: Convert to fraction form
    401.32/602.45 = 219.07/x
  3. Step 3: Cross multiply
    401.32x = 602.45 × 219.07
  4. Step 4: Simplify right side
    401.32x = 131,978.72
  5. Step 5: Solve for x
    x = 131,978.72/401.32
  6. Step 6: Final answer
    x = 328.86

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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.