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Finding the Fourth Proportional to 654.36, 902.34 and 467.88

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Solution

The fourth proportional to 654.36, 902.34 and 467.88 is: 645.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.36 : 902.34 = 467.88 : x
  2. Step 2: Convert to fraction form
    654.36/902.34 = 467.88/x
  3. Step 3: Cross multiply
    654.36x = 902.34 × 467.88
  4. Step 4: Simplify right side
    654.36x = 422,186.84
  5. Step 5: Solve for x
    x = 422,186.84/654.36
  6. Step 6: Final answer
    x = 645.19

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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.