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Finding the Fourth Proportional to 654, 902.64 and 388.50

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Solution

The fourth proportional to 654, 902.64 and 388.50 is: 536.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    654 : 902.64 = 388.50 : x
  2. Step 2: Convert to fraction form
    654/902.64 = 388.50/x
  3. Step 3: Cross multiply
    654x = 902.64 × 388.50
  4. Step 4: Simplify right side
    654x = 350,675.64
  5. Step 5: Solve for x
    x = 350,675.64/654
  6. Step 6: Final answer
    x = 536.20

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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.