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Finding the Fourth Proportional to 654.67, 903.07 and 392.54

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Solution

The fourth proportional to 654.67, 903.07 and 392.54 is: 541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.67 : 903.07 = 392.54 : x
  2. Step 2: Convert to fraction form
    654.67/903.07 = 392.54/x
  3. Step 3: Cross multiply
    654.67x = 903.07 × 392.54
  4. Step 4: Simplify right side
    654.67x = 354,491.10
  5. Step 5: Solve for x
    x = 354,491.10/654.67
  6. Step 6: Final answer
    x = 541.48

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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.