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Finding the Fourth Proportional to 401.60, 602.01 and 219.02

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Solution

The fourth proportional to 401.60, 602.01 and 219.02 is: 328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.60 : 602.01 = 219.02 : x
  2. Step 2: Convert to fraction form
    401.60/602.01 = 219.02/x
  3. Step 3: Cross multiply
    401.60x = 602.01 × 219.02
  4. Step 4: Simplify right side
    401.60x = 131,852.23
  5. Step 5: Solve for x
    x = 131,852.23/401.60
  6. Step 6: Final answer
    x = 328.32

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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.