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Finding the Fourth Proportional to 433.64, 601.67 and 429.92

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Solution

The fourth proportional to 433.64, 601.67 and 429.92 is: 596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.64 : 601.67 = 429.92 : x
  2. Step 2: Convert to fraction form
    433.64/601.67 = 429.92/x
  3. Step 3: Cross multiply
    433.64x = 601.67 × 429.92
  4. Step 4: Simplify right side
    433.64x = 258,669.97
  5. Step 5: Solve for x
    x = 258,669.97/433.64
  6. Step 6: Final answer
    x = 596.51

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.