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Finding the Fourth Proportional to 654.44, 902.94 and 433.31

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Solution

The fourth proportional to 654.44, 902.94 and 433.31 is: 597.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.44 : 902.94 = 433.31 : x
  2. Step 2: Convert to fraction form
    654.44/902.94 = 433.31/x
  3. Step 3: Cross multiply
    654.44x = 902.94 × 433.31
  4. Step 4: Simplify right side
    654.44x = 391,252.93
  5. Step 5: Solve for x
    x = 391,252.93/654.44
  6. Step 6: Final answer
    x = 597.84

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Why These Related Problems?

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