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Finding the Fourth Proportional to 403.14, 602.39 and 353.94

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Solution

The fourth proportional to 403.14, 602.39 and 353.94 is: 528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.14 : 602.39 = 353.94 : x
  2. Step 2: Convert to fraction form
    403.14/602.39 = 353.94/x
  3. Step 3: Cross multiply
    403.14x = 602.39 × 353.94
  4. Step 4: Simplify right side
    403.14x = 213,209.92
  5. Step 5: Solve for x
    x = 213,209.92/403.14
  6. Step 6: Final answer
    x = 528.87

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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.