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Finding the Fourth Proportional to 433.87, 598.32 and 294.14

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Solution

The fourth proportional to 433.87, 598.32 and 294.14 is: 405.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.87 : 598.32 = 294.14 : x
  2. Step 2: Convert to fraction form
    433.87/598.32 = 294.14/x
  3. Step 3: Cross multiply
    433.87x = 598.32 × 294.14
  4. Step 4: Simplify right side
    433.87x = 175,991.34
  5. Step 5: Solve for x
    x = 175,991.34/433.87
  6. Step 6: Final answer
    x = 405.63

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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.