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Finding the Fourth Proportional to 433.90, 649.93 and 402.92

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Solution

The fourth proportional to 433.90, 649.93 and 402.92 is: 603.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.90 : 649.93 = 402.92 : x
  2. Step 2: Convert to fraction form
    433.90/649.93 = 402.92/x
  3. Step 3: Cross multiply
    433.90x = 649.93 × 402.92
  4. Step 4: Simplify right side
    433.90x = 261,869.80
  5. Step 5: Solve for x
    x = 261,869.80/433.90
  6. Step 6: Final answer
    x = 603.53

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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.