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Finding the Fourth Proportional to 401.40, 599.64 and 352.80

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Solution

The fourth proportional to 401.40, 599.64 and 352.80 is: 527.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.40 : 599.64 = 352.80 : x
  2. Step 2: Convert to fraction form
    401.40/599.64 = 352.80/x
  3. Step 3: Cross multiply
    401.40x = 599.64 × 352.80
  4. Step 4: Simplify right side
    401.40x = 211,552.99
  5. Step 5: Solve for x
    x = 211,552.99/401.40
  6. Step 6: Final answer
    x = 527.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.