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Finding the Fourth Proportional to 654.75, 903.52 and 375.00

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Solution

The fourth proportional to 654.75, 903.52 and 375.00 is: 517.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.75 : 903.52 = 375.00 : x
  2. Step 2: Convert to fraction form
    654.75/903.52 = 375.00/x
  3. Step 3: Cross multiply
    654.75x = 903.52 × 375.00
  4. Step 4: Simplify right side
    654.75x = 338,817.08
  5. Step 5: Solve for x
    x = 338,817.08/654.75
  6. Step 6: Final answer
    x = 517.48

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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.