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Finding the Fourth Proportional to 654.54, 903.22 and 374.76

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Solution

The fourth proportional to 654.54, 903.22 and 374.76 is: 517.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.54 : 903.22 = 374.76 : x
  2. Step 2: Convert to fraction form
    654.54/903.22 = 374.76/x
  3. Step 3: Cross multiply
    654.54x = 903.22 × 374.76
  4. Step 4: Simplify right side
    654.54x = 338,490.73
  5. Step 5: Solve for x
    x = 338,490.73/654.54
  6. Step 6: Final answer
    x = 517.14

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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.