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Finding the Fourth Proportional to 432.02, 596.43 and 301.11

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Solution

The fourth proportional to 432.02, 596.43 and 301.11 is: 415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.02 : 596.43 = 301.11 : x
  2. Step 2: Convert to fraction form
    432.02/596.43 = 301.11/x
  3. Step 3: Cross multiply
    432.02x = 596.43 × 301.11
  4. Step 4: Simplify right side
    432.02x = 179,591.04
  5. Step 5: Solve for x
    x = 179,591.04/432.02
  6. Step 6: Final answer
    x = 415.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.